Patching On Berkovich Spaces And The Local Global Principle

Download Patching On Berkovich Spaces And The Local Global Principle full books in PDF, epub, and Kindle. Read online Patching On Berkovich Spaces And The Local Global Principle ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Abelian Varieties and Number Theory

Author : Moshe Jarden
Publisher : American Mathematical Soc.
ISBN 13 : 1470452073
Total Pages : 200 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!

Book Synopsis Abelian Varieties and Number Theory by : Moshe Jarden

Download or read book Abelian Varieties and Number Theory written by Moshe Jarden and published by American Mathematical Soc.. This book was released on 2021-05-03 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of articles on Abelian varieties and number theory dedicated to Gerhard Frey's 75th birthday. It contains original articles by experts in the area of arithmetic and algebraic geometry. The articles cover topics on Abelian varieties and finitely generated Galois groups, ranks of Abelian varieties and Mordell-Lang conjecture, Tate-Shafarevich group and isogeny volcanoes, endomorphisms of superelliptic Jacobians, obstructions to local-global principles over semi-global fields, Drinfeld modular varieties, representations of etale fundamental groups and specialization of algebraic cycles, Deuring's theory of constant reductions, etc. The book will be a valuable resource to graduate students and experts working on Abelian varieties and related areas.

Capacity Theory with Local Rationality

Author : Robert Rumely
Publisher : American Mathematical Soc.
ISBN 13 : 1470409801
Total Pages : 466 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!

Book Synopsis Capacity Theory with Local Rationality by : Robert Rumely

Download or read book Capacity Theory with Local Rationality written by Robert Rumely and published by American Mathematical Soc.. This book was released on 2013-12-26 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the proof of a deep theorem in arithmetic geometry, the Fekete-Szegö theorem with local rationality conditions. The prototype for the theorem is Raphael Robinson's theorem on totally real algebraic integers in an interval, which says that if is a real interval of length greater than 4, then it contains infinitely many Galois orbits of algebraic integers, while if its length is less than 4, it contains only finitely many. The theorem shows this phenomenon holds on algebraic curves of arbitrary genus over global fields of any characteristic, and is valid for a broad class of sets. The book is a sequel to the author's work Capacity Theory on Algebraic Curves and contains applications to algebraic integers and units, the Mandelbrot set, elliptic curves, Fermat curves, and modular curves. A long chapter is devoted to examples, including methods for computing capacities. Another chapter contains extensions of the theorem, including variants on Berkovich curves. The proof uses both algebraic and analytic methods, and draws on arithmetic and algebraic geometry, potential theory, and approximation theory. It introduces new ideas and tools which may be useful in other settings, including the local action of the Jacobian on a curve, the "universal function" of given degree on a curve, the theory of inner capacities and Green's functions, and the construction of near-extremal approximating functions by means of the canonical distance.

The Geometry of Schemes

Author : David Eisenbud
Publisher : Springer Science & Business Media
ISBN 13 : 0387226397
Total Pages : 265 pages
Book Rating : 4.3/5 (872 download)

DOWNLOAD NOW!

Book Synopsis The Geometry of Schemes by : David Eisenbud

Download or read book The Geometry of Schemes written by David Eisenbud and published by Springer Science & Business Media. This book was released on 2006-04-06 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Grothendieck’s beautiful theory of schemes permeates modern algebraic geometry and underlies its applications to number theory, physics, and applied mathematics. This simple account of that theory emphasizes and explains the universal geometric concepts behind the definitions. In the book, concepts are illustrated with fundamental examples, and explicit calculations show how the constructions of scheme theory are carried out in practice.

Period Spaces for P-divisible Groups

Author : M. Rapoport
Publisher : Princeton University Press
ISBN 13 : 9780691027814
Total Pages : 350 pages
Book Rating : 4.0/5 (278 download)

DOWNLOAD NOW!

Book Synopsis Period Spaces for P-divisible Groups by : M. Rapoport

Download or read book Period Spaces for P-divisible Groups written by M. Rapoport and published by Princeton University Press. This book was released on 1996 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph p-adic period domains are associated to arbitrary reductive groups. Using the concept of rigid-analytic period maps the relation of p-adic period domains to moduli space of p-divisible groups is investigated. In addition, non-archimedean uniformization theorems for general Shimura varieties are established. The exposition includes background material on Grothendieck's "mysterious functor" (Fontaine theory), on moduli problems of p-divisible groups, on rigid analytic spaces, and on the theory of Shimura varieties, as well as an exposition of some aspects of Drinfelds' original construction. In addition, the material is illustrated throughout the book with numerous examples.

Advances in the Theory of Numbers

Author : Ayşe Alaca
Publisher : Springer
ISBN 13 : 1493932012
Total Pages : 253 pages
Book Rating : 4.4/5 (939 download)

DOWNLOAD NOW!

Book Synopsis Advances in the Theory of Numbers by : Ayşe Alaca

Download or read book Advances in the Theory of Numbers written by Ayşe Alaca and published by Springer. This book was released on 2015-10-28 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of numbers continues to occupy a central place in modern mathematics because of both its long history over many centuries as well as its many diverse applications to other fields such as discrete mathematics, cryptography, and coding theory. The proof by Andrew Wiles (with Richard Taylor) of Fermat’s last theorem published in 1995 illustrates the high level of difficulty of problems encountered in number-theoretic research as well as the usefulness of the new ideas arising from its proof. The thirteenth conference of the Canadian Number Theory Association was held at Carleton University, Ottawa, Ontario, Canada from June 16 to 20, 2014. Ninety-nine talks were presented at the conference on the theme of advances in the theory of numbers. Topics of the talks reflected the diversity of current trends and activities in modern number theory. These topics included modular forms, hypergeometric functions, elliptic curves, distribution of prime numbers, diophantine equations, L-functions, Diophantine approximation, and many more. This volume contains some of the papers presented at the conference. All papers were refereed. The high quality of the articles and their contribution to current research directions make this volume a must for any mathematics library and is particularly relevant to researchers and graduate students with an interest in number theory. The editors hope that this volume will serve as both a resource and an inspiration to future generations of researchers in the theory of numbers.

Berkeley Lectures on P-adic Geometry

Author : Peter Scholze
Publisher : Princeton University Press
ISBN 13 : 0691202095
Total Pages : 260 pages
Book Rating : 4.6/5 (912 download)

DOWNLOAD NOW!

Book Synopsis Berkeley Lectures on P-adic Geometry by : Peter Scholze

Download or read book Berkeley Lectures on P-adic Geometry written by Peter Scholze and published by Princeton University Press. This book was released on 2020-05-26 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Berkeley Lectures on p-adic Geometry presents an important breakthrough in arithmetic geometry. In 2014, leading mathematician Peter Scholze delivered a series of lectures at the University of California, Berkeley, on new ideas in the theory of p-adic geometry. Building on his discovery of perfectoid spaces, Scholze introduced the concept of “diamonds,” which are to perfectoid spaces what algebraic spaces are to schemes. The introduction of diamonds, along with the development of a mixed-characteristic shtuka, set the stage for a critical advance in the discipline. In this book, Peter Scholze and Jared Weinstein show that the moduli space of mixed-characteristic shtukas is a diamond, raising the possibility of using the cohomology of such spaces to attack the Langlands conjectures for a reductive group over a p-adic field. This book follows the informal style of the original Berkeley lectures, with one chapter per lecture. It explores p-adic and perfectoid spaces before laying out the newer theory of shtukas and their moduli spaces. Points of contact with other threads of the subject, including p-divisible groups, p-adic Hodge theory, and Rapoport-Zink spaces, are thoroughly explained. Berkeley Lectures on p-adic Geometry will be a useful resource for students and scholars working in arithmetic geometry and number theory.

Theory of Stein Spaces

Author : H. Grauert
Publisher : Springer Science & Business Media
ISBN 13 : 1475743572
Total Pages : 269 pages
Book Rating : 4.4/5 (757 download)

DOWNLOAD NOW!

Book Synopsis Theory of Stein Spaces by : H. Grauert

Download or read book Theory of Stein Spaces written by H. Grauert and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. The classical theorem of Mittag-Leffler was generalized to the case of several complex variables by Cousin in 1895. In its one variable version this says that, if one prescribes the principal parts of a merom orphic function on a domain in the complex plane e, then there exists a meromorphic function defined on that domain having exactly those principal parts. Cousin and subsequent authors could only prove the analogous theorem in several variables for certain types of domains (e. g. product domains where each factor is a domain in the complex plane). In fact it turned out that this problem can not be solved on an arbitrary domain in em, m ~ 2. The best known example for this is a "notched" bicylinder in 2 2 e . This is obtained by removing the set { (z , z ) E e 11 z I ~ !, I z 1 ~ !}, from 1 2 1 2 2 the unit bicylinder, ~ :={(z , z ) E e llz1

Mirror Symmetry and Algebraic Geometry

Author : David A. Cox
Publisher : American Mathematical Soc.
ISBN 13 : 082182127X
Total Pages : 498 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!

Book Synopsis Mirror Symmetry and Algebraic Geometry by : David A. Cox

Download or read book Mirror Symmetry and Algebraic Geometry written by David A. Cox and published by American Mathematical Soc.. This book was released on 1999 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mirror symmetry began when theoretical physicists made some astonishing predictions about rational curves on quintic hypersurfaces in four-dimensional projective space. Understanding the mathematics behind these predictions has been a substantial challenge. This book is the first completely comprehensive monograph on mirror symmetry, covering the original observations by the physicists through the most recent progress made to date. Subjects discussed include toric varieties, Hodge theory, Kahler geometry, moduli of stable maps, Calabi-Yau manifolds, quantum cohomology, Gromov-Witten invariants, and the mirror theorem. This title features: numerous examples worked out in detail; an appendix on mathematical physics; an exposition of the algebraic theory of Gromov-Witten invariants and quantum cohomology; and, a proof of the mirror theorem for the quintic threefold.

We Were Caught Unprepared

Author : Matt M. Matthews
Publisher : DIANE Publishing
ISBN 13 : 1437923046
Total Pages : 105 pages
Book Rating : 4.4/5 (379 download)

DOWNLOAD NOW!

Book Synopsis We Were Caught Unprepared by : Matt M. Matthews

Download or read book We Were Caught Unprepared written by Matt M. Matthews and published by DIANE Publishing. This book was released on 2011 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a print on demand edition of a hard to find publication. The fact that the outcome of the 2006 Hezbollah-Israeli War was, at best, a stalemate for Israel has confounded military analysts. Long considered the most professional and powerful army in the Middle East, with a history of impressive military victories against its enemies, the Israeli Defense Forces (IDF) emerged from the campaign with its enemies undefeated and its prestige tarnished. This historical analysis of the war includes an examination of IDF and Hezbollah doctrine prior to the war, as well as an overview of the operational and tactical problems encountered by the IDF during the war. The IDF ground forces were tactically unprepared and untrained to fight against a determined Hezbollah force. ¿An insightful, comprehensive examination of the war.¿ Illustrations.

Blown to Bits

Author : Harold Abelson
Publisher : Addison-Wesley Professional
ISBN 13 : 0137135599
Total Pages : 389 pages
Book Rating : 4.1/5 (371 download)

DOWNLOAD NOW!

Book Synopsis Blown to Bits by : Harold Abelson

Download or read book Blown to Bits written by Harold Abelson and published by Addison-Wesley Professional. This book was released on 2008 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Blown to Bits' is about how the digital explosion is changing everything. The text explains the technology, why it creates so many surprises and why things often don't work the way we expect them to. It is also about things the information explosion is destroying: old assumptions about who is really in control of our lives.

Effective Faithful Tropicalizations Associated to Linear Systems on Curves

Author : Shu Kawaguchi
Publisher : American Mathematical Soc.
ISBN 13 : 1470447533
Total Pages : 110 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!

Book Synopsis Effective Faithful Tropicalizations Associated to Linear Systems on Curves by : Shu Kawaguchi

Download or read book Effective Faithful Tropicalizations Associated to Linear Systems on Curves written by Shu Kawaguchi and published by American Mathematical Soc.. This book was released on 2021-07-21 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: For a connected smooth projective curve X of genus g, global sections of any line bundle L with deg(L) ≥ 2g + 1 give an embedding of the curve into projective space. We consider an analogous statement for a Berkovich skeleton in nonarchimedean geometry: We replace projective space by tropical projective space, and an embedding by a homeomorphism onto its image preserving integral structures (or equivalently, since X is a curve, an isometry), which is called a faithful tropicalization. Let K be an algebraically closed field which is complete with respect to a nontrivial nonarchimedean value. Suppose that X is defined over K and has genus g ≥ 2 and that Γ is a skeleton (that is allowed to have ends) of the analytification Xan of X in the sense of Berkovich. We show that if deg(L) ≥ 3g − 1, then global sections of L give a faithful tropicalization of Γ into tropical projective space. As an application, when Y is a suitable affine curve, we describe the analytification Y an as the limit of tropicalizations of an effectively bounded degree.

The Admissible Dual of GL(N) Via Compact Open Subgroups

Author : Colin John Bushnell
Publisher : Princeton University Press
ISBN 13 : 9780691021140
Total Pages : 330 pages
Book Rating : 4.0/5 (211 download)

DOWNLOAD NOW!

Book Synopsis The Admissible Dual of GL(N) Via Compact Open Subgroups by : Colin John Bushnell

Download or read book The Admissible Dual of GL(N) Via Compact Open Subgroups written by Colin John Bushnell and published by Princeton University Press. This book was released on 1993 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work gives a full description of a method for analyzing the admissible complex representations of the general linear group G = Gl(N, F) of a non-Archimedean local field F in terms of the structure of these representations when they are restricted to certain compact open subgroups of G. The authors define a family of representations of these compact open subgroups, which they call simple types. The first example of a simple type, the "trivial type," is the trivial character of an Iwahori subgroup of G. The irreducible representations of G containing the trivial simple type are classified by the simple modules over a classical affine Hecke algebra. Via an isomorphism of Hecke algebras, this classification is transferred to the irreducible representations of G containing a given simple type. This leads to a complete classification of the irreduc-ible smooth representations of G, including an explicit description of the supercuspidal representations as induced representations. A special feature of this work is its virtually complete reliance on algebraic methods of a ring-theoretic kind. A full and accessible account of these methods is given here.

Neural Networks and Statistical Learning

Author : Ke-Lin Du
Publisher : Springer Science & Business Media
ISBN 13 : 1447155718
Total Pages : 834 pages
Book Rating : 4.4/5 (471 download)

DOWNLOAD NOW!

Book Synopsis Neural Networks and Statistical Learning by : Ke-Lin Du

Download or read book Neural Networks and Statistical Learning written by Ke-Lin Du and published by Springer Science & Business Media. This book was released on 2013-12-09 with total page 834 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing a broad but in-depth introduction to neural network and machine learning in a statistical framework, this book provides a single, comprehensive resource for study and further research. All the major popular neural network models and statistical learning approaches are covered with examples and exercises in every chapter to develop a practical working understanding of the content. Each of the twenty-five chapters includes state-of-the-art descriptions and important research results on the respective topics. The broad coverage includes the multilayer perceptron, the Hopfield network, associative memory models, clustering models and algorithms, the radial basis function network, recurrent neural networks, principal component analysis, nonnegative matrix factorization, independent component analysis, discriminant analysis, support vector machines, kernel methods, reinforcement learning, probabilistic and Bayesian networks, data fusion and ensemble learning, fuzzy sets and logic, neurofuzzy models, hardware implementations, and some machine learning topics. Applications to biometric/bioinformatics and data mining are also included. Focusing on the prominent accomplishments and their practical aspects, academic and technical staff, graduate students and researchers will find that this provides a solid foundation and encompassing reference for the fields of neural networks, pattern recognition, signal processing, machine learning, computational intelligence, and data mining.

Modular Forms and Fermat’s Last Theorem

Author : Gary Cornell
Publisher : Springer Science & Business Media
ISBN 13 : 1461219744
Total Pages : 592 pages
Book Rating : 4.4/5 (612 download)

DOWNLOAD NOW!

Book Synopsis Modular Forms and Fermat’s Last Theorem by : Gary Cornell

Download or read book Modular Forms and Fermat’s Last Theorem written by Gary Cornell and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the expanded lectures given at a conference on number theory and arithmetic geometry held at Boston University. It introduces and explains the many ideas and techniques used by Wiles, and to explain how his result can be combined with Ribets theorem and ideas of Frey and Serre to prove Fermats Last Theorem. The book begins with an overview of the complete proof, followed by several introductory chapters surveying the basic theory of elliptic curves, modular functions and curves, Galois cohomology, and finite group schemes. Representation theory, which lies at the core of the proof, is dealt with in a chapter on automorphic representations and the Langlands-Tunnell theorem, and this is followed by in-depth discussions of Serres conjectures, Galois deformations, universal deformation rings, Hecke algebras, and complete intersections. The book concludes by looking both forward and backward, reflecting on the history of the problem, while placing Wiles'theorem into a more general Diophantine context suggesting future applications. Students and professional mathematicians alike will find this an indispensable resource.

Hypergroup Theory

Author : Bijan Davvaz
Publisher : World Scientific
ISBN 13 : 9811249407
Total Pages : 300 pages
Book Rating : 4.8/5 (112 download)

DOWNLOAD NOW!

Book Synopsis Hypergroup Theory by : Bijan Davvaz

Download or read book Hypergroup Theory written by Bijan Davvaz and published by World Scientific. This book was released on 2021-12-28 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents an updated study of hypergroups, being structured on 12 chapters in starting with the presentation of the basic notions in the domain: semihypergroups, hypergroups, classes of subhypergroups, types of homomorphisms, but also key notions: canonical hypergroups, join spaces and complete hypergroups. A detailed study is dedicated to the connections between hypergroups and binary relations, starting from connections established by Rosenberg and Corsini. Various types of binary relations are highlighted, in particular equivalence relations and the corresponding quotient structures, which enjoy certain properties: commutativity, cyclicity, solvability.A special attention is paid to the fundamental beta relationship, which leads to a group quotient structure. In the finite case, the number of non-isomorphic Rosenberg hypergroups of small orders is mentioned. Also, the study of hypergroups associated with relations is extended to the case of hypergroups associated to n-ary relations. Then follows an applied excursion of hypergroups in important chapters in mathematics: lattices, Pawlak approximation, hypergraphs, topology, with various properties, characterizations, varied and interesting examples. The bibliography presented is an updated one in the field, followed by an index of the notions presented in the book, useful in its study.

Recent Advances in Technology Research and Education

Author : Dumitru Luca
Publisher : Springer
ISBN 13 : 3319674595
Total Pages : 352 pages
Book Rating : 4.3/5 (196 download)

DOWNLOAD NOW!

Book Synopsis Recent Advances in Technology Research and Education by : Dumitru Luca

Download or read book Recent Advances in Technology Research and Education written by Dumitru Luca and published by Springer. This book was released on 2017-09-08 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents selected contributions to the 16th International Conference on Global Research and Education Inter-Academia 2017 hosted by Alexandru Ioan Cuza University of Iași, Romania from 25 to 28 September 2017. It is the third volume in the series, following the editions from 2015 and 2016. Fundamental and applied research in natural sciences have led to crucial developments in the ongoing 4th global industrial revolution, in the course of which information technology has become deeply embedded in industrial management, research and innovation – and just as deeply in education and everyday life. Materials science and nanotechnology, plasma and solid state physics, photonics, electrical and electronic engineering, robotics and metrology, signal processing, e-learning, intelligent and soft computing have long since been central research priorities for the Inter-Academia Community (I-AC) – a body comprising 14 universities and research institutes from Japan and Central/East-European countries that agreed, in 2002, to coordinate their research and education programs so as to better address today’s challenges. The book is intended for use in academic, government, and industrial R&D departments as a reference tool in research and technology education. The 42 peer-reviewed papers were written by more than 119 leading scientists from 14 countries, most of them affiliated to the I-AC.

Coherent Analytic Sheaves

Author : H. Grauert
Publisher : Springer Science & Business Media
ISBN 13 : 3642695825
Total Pages : 267 pages
Book Rating : 4.6/5 (426 download)

DOWNLOAD NOW!

Book Synopsis Coherent Analytic Sheaves by : H. Grauert

Download or read book Coherent Analytic Sheaves written by H. Grauert and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: ... Je mehr ich tiber die Principien der Functionentheorie nachdenke - und ich thue dies unablassig -, urn so fester wird meine Uberzeugung, dass diese auf dem Fundamente algebraischer Wahrheiten aufgebaut werden muss (WEIERSTRASS, Glaubensbekenntnis 1875, Math. Werke II, p. 235). 1. Sheaf Theory is a general tool for handling questions which involve local solutions and global patching. "La notion de faisceau s'introduit parce qu'il s'agit de passer de donnees 'locales' a l'etude de proprietes 'globales'" [CAR], p. 622. The methods of sheaf theory are algebraic. The notion of a sheaf was first introduced in 1946 by J. LERAY in a short note Eanneau d'homologie d'une representation, C.R. Acad. Sci. 222, 1366-68. Of course sheaves had occurred implicitly much earlier in mathematics. The "Monogene analytische Functionen", which K. WEIERSTRASS glued together from "Func tionselemente durch analytische Fortsetzung", are simply the connected components of the sheaf of germs of holomorphic functions on a RIEMANN surface*'; and the "ideaux de domaines indetermines", basic in the work of K. OKA since 1948 (cf. [OKA], p. 84, 107), are just sheaves of ideals of germs of holomorphic functions. Highly original contributions to mathematics are usually not appreciated at first. Fortunately H. CARTAN immediately realized the great importance of LERAY'S new abstract concept of a sheaf. In the polycopied notes of his Semina ire at the E.N.S