Universal Extensions and One Dimensional Crystalline Cohomology

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Publisher : Springer
ISBN 13 : 3540379339
Total Pages : 142 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Universal Extensions and One Dimensional Crystalline Cohomology by : B. Mazur

Download or read book Universal Extensions and One Dimensional Crystalline Cohomology written by B. Mazur and published by Springer. This book was released on 2006-11-15 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: a

Universal Extensions and One Dimensional Crystalline Cohomology

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Publisher :
ISBN 13 : 9783662188828
Total Pages : 148 pages
Book Rating : 4.1/5 (888 download)

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Book Synopsis Universal Extensions and One Dimensional Crystalline Cohomology by : B Mazur

Download or read book Universal Extensions and One Dimensional Crystalline Cohomology written by B Mazur and published by . This book was released on 2014-01-15 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Universal Extensions and One Dimensional Crystalline Cohomology

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Publisher :
ISBN 13 :
Total Pages : 134 pages
Book Rating : 4.:/5 (299 download)

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Book Synopsis Universal Extensions and One Dimensional Crystalline Cohomology by : Barry Mazur

Download or read book Universal Extensions and One Dimensional Crystalline Cohomology written by Barry Mazur and published by . This book was released on 1974 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Universal Extensions and One Dimensional Crystalline Cohomology [By] Barry Mazur [And] William Messing

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Publisher :
ISBN 13 :
Total Pages : 134 pages
Book Rating : 4.:/5 (622 download)

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Book Synopsis Universal Extensions and One Dimensional Crystalline Cohomology [By] Barry Mazur [And] William Messing by : Barry Mazur

Download or read book Universal Extensions and One Dimensional Crystalline Cohomology [By] Barry Mazur [And] William Messing written by Barry Mazur and published by . This book was released on 1974 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Universal Extensions and One Dimensional Crystalline Cohomolog

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Publisher :
ISBN 13 :
Total Pages : 134 pages
Book Rating : 4.:/5 (61 download)

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Book Synopsis Universal Extensions and One Dimensional Crystalline Cohomolog by : Barry Mazur

Download or read book Universal Extensions and One Dimensional Crystalline Cohomolog written by Barry Mazur and published by . This book was released on 1974 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Notes on Crystalline Cohomology. (MN-21)

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Publisher : Princeton University Press
ISBN 13 : 1400867312
Total Pages : 256 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Notes on Crystalline Cohomology. (MN-21) by : Pierre Berthelot

Download or read book Notes on Crystalline Cohomology. (MN-21) written by Pierre Berthelot and published by Princeton University Press. This book was released on 2015-03-08 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by Arthur Ogus on the basis of notes from Pierre Berthelot's seminar on crystalline cohomology at Princeton University in the spring of 1974, this book constitutes an informal introduction to a significant branch of algebraic geometry. Specifically, it provides the basic tools used in the study of crystalline cohomology of algebraic varieties in positive characteristic. Originally published in 1978. 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.

Featured Reviews in Mathematical Reviews 1997-1999

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821896709
Total Pages : 762 pages
Book Rating : 4.8/5 (967 download)

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Book Synopsis Featured Reviews in Mathematical Reviews 1997-1999 by : Donald G. Babbitt

Download or read book Featured Reviews in Mathematical Reviews 1997-1999 written by Donald G. Babbitt and published by American Mathematical Soc.. This book was released on 2000-05-05 with total page 762 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second volume of Featured Reviews makes available special detailed reviews of some of the most important mathematical articles and books published from 1997 through 1999. Also included are excellent reviews of several classic books and articles published prior to 1970. Among those reviews, for example, are the following: Homological Algebra by Henri Cartan and Samuel Eilenberg, reviewed by G. Hochschild; Faisceaux algebriques coherents by Jean-Pierre Serre, reviewed by C. Chevalley; and On the Theory of General Partial Differential Operators by Lars Hormander, reviewed by J. L. Lions. In particular, those seeking information on current developments outside their own area of expertise will find the volume very useful. By identifying some of the best publications, papers, and books that have had or are expected to have a significant impact in applied and pure mathematics, this volume will serve as a comprehensive guide to important new research across all fields covered by MR.

Automorphic Forms, Representation Theory and Arithmetic

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Publisher : Springer
ISBN 13 : 3662007347
Total Pages : 358 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Automorphic Forms, Representation Theory and Arithmetic by : S. Gelbart

Download or read book Automorphic Forms, Representation Theory and Arithmetic written by S. Gelbart and published by Springer. This book was released on 2013-12-01 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: International Colloquium an Automorphic Forms, Representation Theory and Arithmetic. Published for the Tata Institute of Fundamental Research, Bombay

Etale Cohomology and the Weil Conjecture

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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.

Colloquium De Giorgi 2013 and 2014

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Publisher : Springer
ISBN 13 : 8876425152
Total Pages : 148 pages
Book Rating : 4.8/5 (764 download)

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Book Synopsis Colloquium De Giorgi 2013 and 2014 by : Umberto Zannier

Download or read book Colloquium De Giorgi 2013 and 2014 written by Umberto Zannier and published by Springer. This book was released on 2015-03-19 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: ​Since 2001 the Scuola Normale Superiore di Pisa has organized the "Colloquio De Giorgi", a series of colloquium talks named after Ennio De Giorgi. The Colloquio is addressed to a general mathematical audience, and especially meant to attract graduate students and advanced undergraduate students. The lectures are intended to be not too technical, in fields of wide interest. They must provide an overview of the general topic, possibly in a historical perspective, together with a description of more recent progress. The idea of collecting the materials from these lectures and publishing them in annual volumes came out recently, as a recognition of their intrinsic mathematical interest, and also with the aim of preserving memory of these events.

Number Fields and Function Fields – Two Parallel Worlds

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Publisher : Springer Science & Business Media
ISBN 13 : 0817644474
Total Pages : 323 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Number Fields and Function Fields – Two Parallel Worlds by : Gerard B. M. van der Geer

Download or read book Number Fields and Function Fields – Two Parallel Worlds written by Gerard B. M. van der Geer and published by Springer Science & Business Media. This book was released on 2006-11-24 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Invited articles by leading researchers explore various aspects of the parallel worlds of function fields and number fields Topics range from Arakelov geometry, the search for a theory of varieties over the field with one element, via Eisenstein series to Drinfeld modules, and t-motives Aimed at graduate students, mathematicians, and researchers interested in geometry and arithmetic and their connections

Number Theory

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Publisher : Springer
ISBN 13 : 3540466401
Total Pages : 263 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Number Theory by : David V. Chudnovsky

Download or read book Number Theory written by David V. Chudnovsky and published by Springer. This book was released on 2006-11-14 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: The New York Number Theory Seminar was organized in 1982 to provide a forum for the presentation and discussion of recent advances in higher arithmetic and its applications. Papers included in this volume are based on the lectures presented by their authors at the Seminar at the Graduate Center of C.U.N.Y. in 1985-88. Papers in the volume cover a wide spectrum of number theoretic topics ranging from additive number theory and diophantine approximations to algebraic number theory and relations with algebraic geometry and topology.

Loop Spaces, Characteristic Classes and Geometric Quantization

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Publisher : Springer Science & Business Media
ISBN 13 : 0817647317
Total Pages : 318 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Loop Spaces, Characteristic Classes and Geometric Quantization by : Jean-Luc Brylinski

Download or read book Loop Spaces, Characteristic Classes and Geometric Quantization written by Jean-Luc Brylinski and published by Springer Science & Business Media. This book was released on 2009-12-30 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines the differential geometry of manifolds, loop spaces, line bundles and groupoids, and the relations of this geometry to mathematical physics. Applications presented in the book involve anomaly line bundles on loop spaces and anomaly functionals, central extensions of loop groups, Kähler geometry of the space of knots, and Cheeger--Chern--Simons secondary characteristics classes. It also covers the Dirac monopole and Dirac’s quantization of the electrical charge.

Complex Multiplication and Lifting Problems

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Publisher : American Mathematical Soc.
ISBN 13 : 1470410141
Total Pages : 402 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Complex Multiplication and Lifting Problems by : Ching-Li Chai

Download or read book Complex Multiplication and Lifting Problems written by Ching-Li Chai and published by American Mathematical Soc.. This book was released on 2013-12-19 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abelian varieties with complex multiplication lie at the origins of class field theory, and they play a central role in the contemporary theory of Shimura varieties. They are special in characteristic 0 and ubiquitous over finite fields. This book explores the relationship between such abelian varieties over finite fields and over arithmetically interesting fields of characteristic 0 via the study of several natural CM lifting problems which had previously been solved only in special cases. In addition to giving complete solutions to such questions, the authors provide numerous examples to illustrate the general theory and present a detailed treatment of many fundamental results and concepts in the arithmetic of abelian varieties, such as the Main Theorem of Complex Multiplication and its generalizations, the finer aspects of Tate's work on abelian varieties over finite fields, and deformation theory. This book provides an ideal illustration of how modern techniques in arithmetic geometry (such as descent theory, crystalline methods, and group schemes) can be fruitfully combined with class field theory to answer concrete questions about abelian varieties. It will be a useful reference for researchers and advanced graduate students at the interface of number theory and algebraic geometry.

Modular Functions of One Variable V

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Publisher : Springer
ISBN 13 : 3540372911
Total Pages : 294 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Modular Functions of One Variable V by : J. P. Serre

Download or read book Modular Functions of One Variable V written by J. P. Serre and published by Springer. This book was released on 2006-11-15 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings of the conference are being published in two parts, and the present volume is mostly algebraic (congruence properties of modular forms, modular curves and their rational points, etc.), whereas the second volume will be more analytic and also include some papers on modular forms in several variables.

Arithmetic and Geometry

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Publisher : Princeton University Press
ISBN 13 : 0691193770
Total Pages : 186 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Arithmetic and Geometry by : Gisbert Wüstholz

Download or read book Arithmetic and Geometry written by Gisbert Wüstholz and published by Princeton University Press. This book was released on 2019-10-08 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Arithmetic and Geometry presents highlights of recent work in arithmetic algebraic geometry by some of the world's leading mathematicians. Together, these 2016 lectures—which were delivered in celebration of the tenth anniversary of the annual summer workshops in Alpbach, Austria—provide an introduction to high-level research on three topics: Shimura varieties, hyperelliptic continued fractions and generalized Jacobians, and Faltings height and L-functions. The book consists of notes, written by young researchers, on three sets of lectures or minicourses given at Alpbach. The first course, taught by Peter Scholze, contains his recent results dealing with the local Langlands conjecture. The fundamental question is whether for a given datum there exists a so-called local Shimura variety. In some cases, they exist in the category of rigid analytic spaces; in others, one has to use Scholze's perfectoid spaces. The second course, taught by Umberto Zannier, addresses the famous Pell equation—not in the classical setting but rather with the so-called polynomial Pell equation, where the integers are replaced by polynomials in one variable with complex coefficients, which leads to the study of hyperelliptic continued fractions and generalized Jacobians. The third course, taught by Shou-Wu Zhang, originates in the Chowla–Selberg formula, which was taken up by Gross and Zagier to relate values of the L-function for elliptic curves with the height of Heegner points on the curves. Zhang, X. Yuan, and Wei Zhang prove the Gross–Zagier formula on Shimura curves and verify the Colmez conjecture on average.

Modular Functions of One Variable IV

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Publisher : Springer
ISBN 13 : 3540375880
Total Pages : 158 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Modular Functions of One Variable IV by : B.J. Birch

Download or read book Modular Functions of One Variable IV written by B.J. Birch and published by Springer. This book was released on 2006-12-08 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: