Etale Cohomology Pms 33

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Etale Cohomology (PMS-33)

Author : J. S. Milne
Publisher : Princeton University Press
ISBN 13 : 9780691082387
Total Pages : 346 pages
Book Rating : 4.0/5 (823 download)

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Book Synopsis Etale Cohomology (PMS-33) by : J. S. Milne

Download or read book Etale Cohomology (PMS-33) written by J. S. Milne and published by Princeton University Press. This book was released on 1980-04-21 with total page 346 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.

Étale Cohomology (PMS-33), Volume 33

Author : James S. Milne
Publisher : Princeton University Press
ISBN 13 : 1400883989
Total Pages : 344 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Étale Cohomology (PMS-33), Volume 33 by : James S. Milne

Download or read book Étale Cohomology (PMS-33), Volume 33 written by James S. Milne and published by Princeton University Press. This book was released on 2016-10-11 with total page 344 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.

Etale Cohomology Theory (Revised Edition)

Author : Lei Fu
Publisher : World Scientific
ISBN 13 : 9814675105
Total Pages : 624 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Etale Cohomology Theory (Revised Edition) by : Lei Fu

Download or read book Etale Cohomology Theory (Revised Edition) written by Lei Fu and published by World Scientific. This book was released on 2015-02-27 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: Etale cohomology is an important branch in arithmetic geometry. This book covers the main materials in SGA 1, SGA 4, SGA 4 1/2 and SGA 5 on etale cohomology theory, which includes decent theory, etale fundamental groups, Galois cohomology, etale cohomology, derived categories, base change theorems, duality, and ℓ-adic cohomology. The prerequisites for reading this book are basic algebraic geometry and advanced commutative algebra.

Etale Cohomology and the Weil Conjecture

Author : Eberhard Freitag
Publisher : Springer Science & Business Media
ISBN 13 : 3662025418
Total Pages : 336 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Etale Cohomology and the Weil Conjecture by : Eberhard Freitag

Download or read book Etale Cohomology and the Weil Conjecture written by Eberhard Freitag and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some years ago a conference on l-adic cohomology in Oberwolfach was held with the aim of reaching an understanding of Deligne's proof of the Weil conjec tures. For the convenience of the speakers the present authors - who were also the organisers of that meeting - prepared short notes containing the central definitions and ideas of the proofs. The unexpected interest for these notes and the various suggestions to publish them encouraged us to work somewhat more on them and fill out the gaps. Our aim was to develop the theory in as self contained and as short a manner as possible. We intended especially to provide a complete introduction to etale and l-adic cohomology theory including the monodromy theory of Lefschetz pencils. Of course, all the central ideas are due to the people who created the theory, especially Grothendieck and Deligne. The main references are the SGA-notes [64-69]. With the kind permission of Professor J. A. Dieudonne we have included in the book that finally resulted his excellent notes on the history of the Weil conjectures, as a second introduction. Our original notes were written in German. However, we finally followed the recommendation made variously to publish the book in English. We had the good fortune that Professor W. Waterhouse and his wife Betty agreed to translate our manuscript. We want to thank them very warmly for their willing involvement in such a tedious task. We are very grateful to the staff of Springer-Verlag for their careful work.

Real and Etale Cohomology

Author : Claus Scheiderer
Publisher :
ISBN 13 : 9783662172582
Total Pages : 308 pages
Book Rating : 4.1/5 (725 download)

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Book Synopsis Real and Etale Cohomology by : Claus Scheiderer

Download or read book Real and Etale Cohomology written by Claus Scheiderer and published by . This book was released on 2014-01-15 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Generalized Etale Cohomology Theories

Author : J.F. Jardine
Publisher : Springer Science & Business Media
ISBN 13 : 9783764354947
Total Pages : 332 pages
Book Rating : 4.3/5 (549 download)

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Book Synopsis Generalized Etale Cohomology Theories by : J.F. Jardine

Download or read book Generalized Etale Cohomology Theories written by J.F. Jardine and published by Springer Science & Business Media. This book was released on 1997-02-18 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: A generalized etale cohomology theory is a theory which is represented by a presheaf of spectra on an etale site for an algebraic variety, in analogy with the way an ordinary spectrum represents a cohomology theory for spaces. Examples include etale cohomology and etale K-theory. This book gives new and complete proofs of both Thomason's descent theorem for Bott periodic K-theory and the Nisnevich descent theorem. In doing so, it exposes most of the major ideas of the homotopy theory of presheaves of spectra, and generalized etale homology theories in particular. The treatment includes, for the purpose of adequately dealing with cup product structures, a development of stable homotopy theory for n-fold spectra, which is then promoted to the level of presheaves of n-fold spectra. This book should be of interest to all researchers working in fields related to algebraic K-theory. The techniques presented here are essentially combinatorial, and hence algebraic. An extensive background in traditional stable homotopy theory is not assumed.

Topics in Ergodic Theory (PMS-44), Volume 44

Author : Iakov Grigorevich Sinai
Publisher : Princeton University Press
ISBN 13 : 1400887259
Total Pages : 226 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Topics in Ergodic Theory (PMS-44), Volume 44 by : Iakov Grigorevich Sinai

Download or read book Topics in Ergodic Theory (PMS-44), Volume 44 written by Iakov Grigorevich Sinai and published by Princeton University Press. This book was released on 2017-03-14 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book concerns areas of ergodic theory that are now being intensively developed. The topics include entropy theory (with emphasis on dynamical systems with multi-dimensional time), elements of the renormalization group method in the theory of dynamical systems, splitting of separatrices, and some problems related to the theory of hyperbolic dynamical systems. Originally published in 1993. 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.

Theory of Lie Groups (PMS-8), Volume 8

Author : Claude Chevalley
Publisher : Princeton University Press
ISBN 13 : 1400883857
Total Pages : 230 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Theory of Lie Groups (PMS-8), Volume 8 by : Claude Chevalley

Download or read book Theory of Lie Groups (PMS-8), Volume 8 written by Claude Chevalley and published by Princeton University Press. This book was released on 2016-06-02 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: This famous book was the first treatise on Lie groups in which a modern point of view was adopted systematically, namely, that a continuous group can be regarded as a global object. To develop this idea to its fullest extent, Chevalley incorporated a broad range of topics, such as the covering spaces of topological spaces, analytic manifolds, integration of complete systems of differential equations on a manifold, and the calculus of exterior differential forms. The book opens with a short description of the classical groups: unitary groups, orthogonal groups, symplectic groups, etc. These special groups are then used to illustrate the general properties of Lie groups, which are considered later. The general notion of a Lie group is defined and correlated with the algebraic notion of a Lie algebra; the subgroups, factor groups, and homomorphisms of Lie groups are studied by making use of the Lie algebra. The last chapter is concerned with the theory of compact groups, culminating in Peter-Weyl's theorem on the existence of representations. Given a compact group, it is shown how one can construct algebraically the corresponding Lie group with complex parameters which appears in the form of a certain algebraic variety (associated algebraic group). This construction is intimately related to the proof of the generalization given by Tannaka of Pontrjagin's duality theorem for Abelian groups. The continued importance of Lie groups in mathematics and theoretical physics make this an indispensable volume for researchers in both fields.

Singular Integrals and Differentiability Properties of Functions (PMS-30)

Author : Elias M. Stein
Publisher : Princeton University Press
ISBN 13 : 1400883881
Total Pages : 304 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Singular Integrals and Differentiability Properties of Functions (PMS-30) by : Elias M. Stein

Download or read book Singular Integrals and Differentiability Properties of Functions (PMS-30) written by Elias M. Stein and published by Princeton University Press. This book was released on 2016-06-02 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Singular integrals are among the most interesting and important objects of study in analysis, one of the three main branches of mathematics. They deal with real and complex numbers and their functions. In this book, Princeton professor Elias Stein, a leading mathematical innovator as well as a gifted expositor, produced what has been called the most influential mathematics text in the last thirty-five years. One reason for its success as a text is its almost legendary presentation: Stein takes arcane material, previously understood only by specialists, and makes it accessible even to beginning graduate students. Readers have reflected that when you read this book, not only do you see that the greats of the past have done exciting work, but you also feel inspired that you can master the subject and contribute to it yourself. Singular integrals were known to only a few specialists when Stein's book was first published. Over time, however, the book has inspired a whole generation of researchers to apply its methods to a broad range of problems in many disciplines, including engineering, biology, and finance. Stein has received numerous awards for his research, including the Wolf Prize of Israel, the Steele Prize, and the National Medal of Science. He has published eight books with Princeton, including Real Analysis in 2005.

The Publishers' Trade List Annual

Author :
Publisher :
ISBN 13 :
Total Pages : 1234 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis The Publishers' Trade List Annual by :

Download or read book The Publishers' Trade List Annual written by and published by . This book was released on 1985 with total page 1234 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Several Complex Variables with Connections to Algebraic Geometry and Lie Groups

Author : Joseph L. Taylor
Publisher : American Mathematical Soc.
ISBN 13 : 082183178X
Total Pages : 530 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Several Complex Variables with Connections to Algebraic Geometry and Lie Groups by : Joseph L. Taylor

Download or read book Several Complex Variables with Connections to Algebraic Geometry and Lie Groups written by Joseph L. Taylor and published by American Mathematical Soc.. This book was released on 2002 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents an integrated development of core material from several complex variables and complex algebraic geometry, leading to proofs of Serre's celebrated GAGA theorems relating the two subjects, and including applications to the representation theory of complex semisimple Lie groups. It includes a thorough treatment of the local theory using the tools of commutative algebra, an extensive development of sheaf theory and the theory of coherent analytic and algebraicsheaves, proofs of the main vanishing theorems for these categories of sheaves, and a complete proof of the finite dimensionality of the cohomology of coherent sheaves on compact varieties. The vanishing theorems have a wide variety of applications and these are covered in detail. Of particular interest arethe last three chapters, which are devoted to applications of the preceding material to the study of the structure theory and representation theory of complex semisimple Lie groups. Included are introductions to harmonic analysis, the Peter-Weyl theorem, Lie theory and the structure of Lie algebras, semisimple Lie algebras and their representations, algebraic groups and the structure of complex semisimple Lie groups. All of this culminates in Milicic's proof of the Borel-Weil-Bott theorem,which makes extensive use of the material developed earlier in the text. There are numerous examples and exercises in each chapter. This modern treatment of a classic point of view would be an excellent text for a graduate course on several complex variables, as well as a useful reference for theexpert.

D-Modules, Perverse Sheaves, and Representation Theory

Author : Ryoshi Hotta
Publisher : Springer Science & Business Media
ISBN 13 : 081764363X
Total Pages : 408 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis D-Modules, Perverse Sheaves, and Representation Theory by : Ryoshi Hotta

Download or read book D-Modules, Perverse Sheaves, and Representation Theory written by Ryoshi Hotta and published by Springer Science & Business Media. This book was released on 2007-11-07 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: D-modules continues to be an active area of stimulating research in such mathematical areas as algebraic, analysis, differential equations, and representation theory. Key to D-modules, Perverse Sheaves, and Representation Theory is the authors' essential algebraic-analytic approach to the theory, which connects D-modules to representation theory and other areas of mathematics. To further aid the reader, and to make the work as self-contained as possible, appendices are provided as background for the theory of derived categories and algebraic varieties. The book is intended to serve graduate students in a classroom setting and as self-study for researchers in algebraic geometry, representation theory.

Compactifying Moduli Spaces for Abelian Varieties

Author : Martin C. Olsson
Publisher : Springer Science & Business Media
ISBN 13 : 354070518X
Total Pages : 286 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Compactifying Moduli Spaces for Abelian Varieties by : Martin C. Olsson

Download or read book Compactifying Moduli Spaces for Abelian Varieties written by Martin C. Olsson and published by Springer Science & Business Media. This book was released on 2008-08-25 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the construction of canonical modular compactifications of moduli spaces for polarized Abelian varieties (possibly with level structure), building on the earlier work of Alexeev, Nakamura, and Namikawa. This provides a different approach to compactifying these spaces than the more classical approach using toroical embeddings, which are not canonical. There are two main new contributions in this monograph: (1) The introduction of logarithmic geometry as understood by Fontaine, Illusie, and Kato to the study of degenerating Abelian varieties; and (2) the construction of canonical compactifications for moduli spaces with higher degree polarizations based on stack-theoretic techniques and a study of the theta group.

Algebraic K-theory and Algebraic Number Theory

Author : Michael R. Stein
Publisher : American Mathematical Soc.
ISBN 13 : 0821850903
Total Pages : 488 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Algebraic K-theory and Algebraic Number Theory by : Michael R. Stein

Download or read book Algebraic K-theory and Algebraic Number Theory written by Michael R. Stein and published by American Mathematical Soc.. This book was released on 1989 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Handbook of Model Categories

Author : Scott Balchin
Publisher : Springer Nature
ISBN 13 : 3030750353
Total Pages : 326 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis A Handbook of Model Categories by : Scott Balchin

Download or read book A Handbook of Model Categories written by Scott Balchin and published by Springer Nature. This book was released on 2021-10-29 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book outlines a vast array of techniques and methods regarding model categories, without focussing on the intricacies of the proofs. Quillen model categories are a fundamental tool for the understanding of homotopy theory. While many introductions to model categories fall back on the same handful of canonical examples, the present book highlights a large, self-contained collection of other examples which appear throughout the literature. In particular, it collects a highly scattered literature into a single volume. The book is aimed at anyone who uses, or is interested in using, model categories to study homotopy theory. It is written in such a way that it can be used as a reference guide for those who are already experts in the field. However, it can also be used as an introduction to the theory for novices.

Étale Cohomology of Rigid Analytic Varieties and Adic Spaces

Author : Roland Huber
Publisher : Vieweg+Teubner Verlag
ISBN 13 : 9783663099925
Total Pages : 0 pages
Book Rating : 4.0/5 (999 download)

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Book Synopsis Étale Cohomology of Rigid Analytic Varieties and Adic Spaces by : Roland Huber

Download or read book Étale Cohomology of Rigid Analytic Varieties and Adic Spaces written by Roland Huber and published by Vieweg+Teubner Verlag. This book was released on 2013-10-03 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Diese Forschungsmonographie von hohem mathematischen Niveau liefert einen neuen Zugang zu den rigid-analytischen Räumen, sowie ihrer etalen Kohomologie.USP: Aus der Froschung: Zahlentheorie und Algebraische Geometrie

Smarandache Fuzzy Algebra

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1931233748
Total Pages : 455 pages
Book Rating : 4.9/5 (312 download)

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Book Synopsis Smarandache Fuzzy Algebra by : W. B. Vasantha Kandasamy

Download or read book Smarandache Fuzzy Algebra written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2003 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author studies the Smarandache Fuzzy Algebra, which, like its predecessor Fuzzy Algebra, arose from the need to define structures that were more compatible with the real world where the grey areas mattered, not only black or white.In any human field, a Smarandache n-structure on a set S means a weak structure {w(0)} on S such that there exists a chain of proper subsets P(n-1) in P(n-2) in?in P(2) in P(1) in S whose corresponding structures verify the chain {w(n-1)} includes {w(n-2)} includes? includes {w(2)} includes {w(1)} includes {w(0)}, where 'includes' signifies 'strictly stronger' (i.e., structure satisfying more axioms).This book is referring to a Smarandache 2-algebraic structure (two levels only of structures in algebra) on a set S, i.e. a weak structure {w(0)} on S such that there exists a proper subset P of S, which is embedded with a stronger structure {w(1)}. Properties of Smarandache fuzzy semigroups, groupoids, loops, bigroupoids, biloops, non-associative rings, birings, vector spaces, semirings, semivector spaces, non-associative semirings, bisemirings, near-rings, non-associative near-ring, and binear-rings are presented in the second part of this book together with examples, solved and unsolved problems, and theorems. Also, applications of Smarandache groupoids, near-rings, and semirings in automaton theory, in error correcting codes, and in the construction of S-sub-biautomaton can be found in the last chapter.