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Author :
Publisher :
ISBN 13 :
Total Pages : 460 pages
Book Rating : 4.0/5 ( download)
Download or read book Groupes de Monodromie en Géométrie Algébrique written by and published by . This book was released on 1972 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jean-Benoit Bost
Publisher : Springer Science & Business Media
ISBN 13 : 9783764363086
Total Pages : 308 pages
Book Rating : 4.3/5 (63 download)
Download or read book Courbes semi-stables et groupe fondamental en geometrie algebrique written by Jean-Benoit Bost and published by Springer Science & Business Media. This book was released on 2000-08-01 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains detailed expositions of talks given during an instructional conference held at Luminy in December 1998, which was devoted to classical and recent results concerning the fundamental group of algebraic curves, especially over finite and local fields. The scientific guidance of the conference was supplied by M. Raynaud, a leading expert in the field. The purpose of this volume is twofold. Firstly, it gives an account of basic results concerning rigid geometry, stable curves, and algebraic fundamental groups, in a form which should make them largely accessible to graduate students mastering a basic course in modern algebraic geometry. However classic, most of this material has not appeared in book form yet. In particular, the semi-stable reduction theorem for curves is covered with special care, including various detailed proofs. Secondly, it presents self-contained expositions of important recent developments, including the work of Tamagawa on Grothendieck's anabelian conjecture for curves over finite fields, and the solution by Raynaud and Harbater of Abhyankar's conjecture about coverings of affine curves in positive characteristic. These expositions should be accessible to research students who have read the previous chapters. They are also aimed at experts in number theory and algebraic geometry who want to read a streamlined account of these recent advances.
Author : Henryk Zoladek
Publisher : Springer Science & Business Media
ISBN 13 : 3764375361
Total Pages : 589 pages
Book Rating : 4.7/5 (643 download)
Download or read book The Monodromy Group written by Henryk Zoladek and published by Springer Science & Business Media. This book was released on 2006-08-10 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: In singularity theory and algebraic geometry, the monodromy group is embodied in the Picard-Lefschetz formula and the Picard-Fuchs equations. It has applications in the weakened 16th Hilbert problem and in mixed Hodge structures. There is a deep connection of monodromy theory with Galois theory of differential equations and algebraic functions. In covering these and other topics, this book underlines the unifying role of the monogropy group.
Author : Wolfgang Ebeling
Publisher : Springer
ISBN 13 : 3540480722
Total Pages : 166 pages
Book Rating : 4.5/5 (44 download)
Download or read book The Monodromy Groups of Isolated Singularities of Complete Intersections written by Wolfgang Ebeling and published by Springer. This book was released on 2006-11-15 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Nicholas M. Katz
Publisher : American Mathematical Soc.
ISBN 13 : 9780821869611
Total Pages : 452 pages
Book Rating : 4.8/5 (696 download)
Download or read book Random Matrices, Frobenius Eigenvalues, and Monodromy written by Nicholas M. Katz and published by American Mathematical Soc.. This book was released on with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Fedor Bogomolov
Publisher : Springer Science & Business Media
ISBN 13 : 0817644172
Total Pages : 365 pages
Book Rating : 4.8/5 (176 download)
Download or read book Geometric Methods in Algebra and Number Theory written by Fedor Bogomolov and published by Springer Science & Business Media. This book was released on 2006-06-22 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Contains a selection of articles exploring geometric approaches to problems in algebra, algebraic geometry and number theory * The collection gives a representative sample of problems and most recent results in algebraic and arithmetic geometry * Text can serve as an intense introduction for graduate students and those wishing to pursue research in algebraic and arithmetic geometry
Author : Jean-Louis Colliot-Thélène
Publisher : Springer Nature
ISBN 13 : 3030742482
Total Pages : 450 pages
Book Rating : 4.0/5 (37 download)
Download or read book The Brauer–Grothendieck Group written by Jean-Louis Colliot-Thélène and published by Springer Nature. This book was released on 2021-07-30 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a systematic treatment of the Brauer group of schemes, from the foundational work of Grothendieck to recent applications in arithmetic and algebraic geometry. The importance of the cohomological Brauer group for applications to Diophantine equations and algebraic geometry was discovered soon after this group was introduced by Grothendieck. The Brauer–Manin obstruction plays a crucial role in the study of rational points on varieties over global fields. The birational invariance of the Brauer group was recently used in a novel way to establish the irrationality of many new classes of algebraic varieties. The book covers the vast theory underpinning these and other applications. Intended as an introduction to cohomological methods in algebraic geometry, most of the book is accessible to readers with a knowledge of algebra, algebraic geometry and algebraic number theory at graduate level. Much of the more advanced material is not readily available in book form elsewhere; notably, de Jong’s proof of Gabber’s theorem, the specialisation method and applications of the Brauer group to rationality questions, an in-depth study of the Brauer–Manin obstruction, and proof of the finiteness theorem for the Brauer group of abelian varieties and K3 surfaces over finitely generated fields. The book surveys recent work but also gives detailed proofs of basic theorems, maintaining a balance between general theory and concrete examples. Over half a century after Grothendieck's foundational seminars on the topic, The Brauer–Grothendieck Group is a treatise that fills a longstanding gap in the literature, providing researchers, including research students, with a valuable reference on a central object of algebraic and arithmetic geometry.
Author : Leila Schneps
Publisher : Cambridge University Press
ISBN 13 : 9780521808316
Total Pages : 486 pages
Book Rating : 4.8/5 (83 download)
Download or read book Galois Groups and Fundamental Groups written by Leila Schneps and published by Cambridge University Press. This book was released on 2003-07-21 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: Table of contents
Author : Yuri Tschinkel
Publisher : Universitätsverlag Göttingen
ISBN 13 : 3938616172
Total Pages : 226 pages
Book Rating : 4.9/5 (386 download)
Download or read book Mathematisches Institut Georg-August-Universität Göttingen written by Yuri Tschinkel and published by Universitätsverlag Göttingen. This book was released on 2005 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains lecture notes from the seminars "Number Theory", "Algebraic Geometry" and "Twisted Cohomology Theories" which took place at the Mathematics Institute of the University of Göttingen during the Winter Term 2004/2005. Most contributions report on recent work by the authors.
Author : William Fulton
Publisher : Springer Science & Business Media
ISBN 13 : 1461217008
Total Pages : 483 pages
Book Rating : 4.4/5 (612 download)
Download or read book Intersection Theory written by William Fulton and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intersection theory has played a central role in mathematics, from the ancient origins of algebraic geometry in the solutions of polynomial equations to the triumphs of algebraic geometry during the last two centuries. This book develops the foundations of the theory and indicates the range of classical and modern applications. The hardcover edition received the prestigious Steele Prize in 1996 for best exposition.
Author : Omid Amini
Publisher : American Mathematical Soc.
ISBN 13 : 1470410214
Total Pages : 274 pages
Book Rating : 4.4/5 (74 download)
Download or read book Tropical and Non-Archimedean Geometry written by Omid Amini and published by American Mathematical Soc.. This book was released on 2014-12-26 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past decade, it has become apparent that tropical geometry and non-Archimedean geometry should be studied in tandem; each subject has a great deal to say about the other. This volume is a collection of articles dedicated to one or both of these disciplines. Some of the articles are based, at least in part, on the authors' lectures at the 2011 Bellairs Workshop in Number Theory, held from May 6-13, 2011, at the Bellairs Research Institute, Holetown, Barbados. Lecture topics covered in this volume include polyhedral structures on tropical varieties, the structure theory of non-Archimedean curves (algebraic, analytic, tropical, and formal), uniformisation theory for non-Archimedean curves and abelian varieties, and applications to Diophantine geometry. Additional articles selected for inclusion in this volume represent other facets of current research and illuminate connections between tropical geometry, non-Archimedean geometry, toric geometry, algebraic graph theory, and algorithmic aspects of systems of polynomial equations.
Author : D. Kaledin
Publisher : IOS Press
ISBN 13 : 1607503255
Total Pages : 356 pages
Book Rating : 4.6/5 (75 download)
Download or read book Higher-Dimensional Geometry Over Finite Fields written by D. Kaledin and published by IOS Press. This book was released on 2008-06-05 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Number systems based on a finite collection of symbols, such as the 0s and 1s of computer circuitry, are ubiquitous in the modern age. Finite fields are the most important such number systems, playing a vital role in military and civilian communications through coding theory and cryptography. These disciplines have evolved over recent decades, and where once the focus was on algebraic curves over finite fields, recent developments have revealed the increasing importance of higher-dimensional algebraic varieties over finite fields. The papers included in this publication introduce the reader to recent developments in algebraic geometry over finite fields with particular attention to applications of geometric techniques to the study of rational points on varieties over finite fields of dimension of at least 2.
Author : Yves Aubry
Publisher : American Mathematical Soc.
ISBN 13 : 1470442124
Total Pages : 186 pages
Book Rating : 4.4/5 (74 download)
Download or read book Arithmetic Geometry: Computation and Applications written by Yves Aubry and published by American Mathematical Soc.. This book was released on 2019-01-11 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: For thirty years, the biennial international conference AGC T (Arithmetic, Geometry, Cryptography, and Coding Theory) has brought researchers to Marseille to build connections between arithmetic geometry and its applications, originally highlighting coding theory but more recently including cryptography and other areas as well. This volume contains the proceedings of the 16th international conference, held from June 19–23, 2017. The papers are original research articles covering a large range of topics, including weight enumerators for codes, function field analogs of the Brauer–Siegel theorem, the computation of cohomological invariants of curves, the trace distributions of algebraic groups, and applications of the computation of zeta functions of curves. Despite the varied topics, the papers share a common thread: the beautiful interplay between abstract theory and explicit results.
Author : Jean-paul Brasselet
Publisher : World Scientific
ISBN 13 : 9814476390
Total Pages : 1083 pages
Book Rating : 4.8/5 (144 download)
Download or read book Singularity Theory: Dedicated To Jean-paul Brasselet On His 60th Birthday - Proceedings Of The 2005 Marseille Singularity School And Conference written by Jean-paul Brasselet and published by World Scientific. This book was released on 2007-02-08 with total page 1083 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Singularity School and Conference took place in Luminy, Marseille, from January 24th to February 25th 2005. More than 180 mathematicians from over 30 countries converged to discuss recent developments in singularity theory.The volume contains the elementary and advanced courses conducted by singularities specialists during the conference, general lectures on singularity theory, and lectures on applications of the theory to various domains. The subjects range from geometry and topology of singularities, through real and complex singularities, to applications of singularities.
Author : Denis Chniot
Publisher : World Scientific
ISBN 13 : 9812704108
Total Pages : 1083 pages
Book Rating : 4.8/5 (127 download)
Download or read book Singularity Theory written by Denis Chniot and published by World Scientific. This book was released on 2007 with total page 1083 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Singularity School and Conference took place in Luminy, Marseille, from January 24th to February 25th 2005. More than 180 mathematicians from over 30 countries converged to discuss recent developments in singularity theory.The volume contains the elementary and advanced courses conducted by singularities specialists during the conference, general lectures on singularity theory, and lectures on applications of the theory to various domains. The subjects range from geometry and topology of singularities, through real and complex singularities, to applications of singularities.
Author : Dirk Wiersma
Publisher : Springer Science & Business Media
ISBN 13 : 9401008345
Total Pages : 470 pages
Book Rating : 4.4/5 (1 download)
Download or read book New Developments in Singularity Theory written by Dirk Wiersma and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: Singularities arise naturally in a huge number of different areas of mathematics and science. As a consequence, singularity theory lies at the crossroads of paths that connect many of the most important areas of applications of mathematics with some of its most abstract regions. The main goal in most problems of singularity theory is to understand the dependence of some objects of analysis, geometry, physics, or other science (functions, varieties, mappings, vector or tensor fields, differential equations, models, etc.) on parameters. The articles collected here can be grouped under three headings. (A) Singularities of real maps; (B) Singular complex variables; and (C) Singularities of homomorphic maps.
Author : James S. Milne
Publisher : Princeton University Press
ISBN 13 : 1400883989
Total Pages : 338 pages
Book Rating : 4.4/5 (8 download)
Download or read book Étale Cohomology written by James S. Milne and published by Princeton University Press. This book was released on 2016-10-11 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most important mathematical achievements of the past several decades has been A. Grothendieck's work on algebraic geometry. In the early 1960s, he and M. Artin introduced étale cohomology in order to extend the methods of sheaf-theoretic cohomology from complex varieties to more general schemes. This work found many applications, not only in algebraic geometry, but also in several different branches of number theory and in the representation theory of finite and p-adic groups. Yet until now, the work has been available only in the original massive and difficult papers. In order to provide an accessible introduction to étale cohomology, J. S. Milne offers this more elementary account covering the essential features of the theory. The author begins with a review of the basic properties of flat and étale morphisms and of the algebraic fundamental group. The next two chapters concern the basic theory of étale sheaves and elementary étale cohomology, and are followed by an application of the cohomology to the study of the Brauer group. After a detailed analysis of the cohomology of curves and surfaces, Professor Milne proves the fundamental theorems in étale cohomology -- those of base change, purity, Poincaré duality, and the Lefschetz trace formula. He then applies these theorems to show the rationality of some very general L-series. Originally published in 1980. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
