Drinfeld Modular Forms Of Arbitrary Rank
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Drinfeld Modular Forms Of Arbitrary Rank
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Author : Dirk Basson
language : en
Publisher: American Mathematical Society
Release Date : 2025-01-23
Drinfeld Modular Forms Of Arbitrary Rank written by Dirk Basson and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-23 with Mathematics categories.
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Arithmetic Geometry Over Global Function Fields
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Author : Gebhard Böckle
language : en
Publisher: Springer
Release Date : 2014-11-13
Arithmetic Geometry Over Global Function Fields written by Gebhard Böckle and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-13 with Mathematics categories.
This volume collects the texts of five courses given in the Arithmetic Geometry Research Programme 2009-2010 at the CRM Barcelona. All of them deal with characteristic p global fields; the common theme around which they are centered is the arithmetic of L-functions (and other special functions), investigated in various aspects. Three courses examine some of the most important recent ideas in the positive characteristic theory discovered by Goss (a field in tumultuous development, which is seeing a number of spectacular advances): they cover respectively crystals over function fields (with a number of applications to L-functions of t-motives), gamma and zeta functions in characteristic p, and the binomial theorem. The other two are focused on topics closer to the classical theory of abelian varieties over number fields: they give respectively a thorough introduction to the arithmetic of Jacobians over function fields (including the current status of the BSD conjecture and its geometric analogues, and the construction of Mordell-Weil groups of high rank) and a state of the art survey of Geometric Iwasawa Theory explaining the recent proofs of various versions of the Main Conjecture, in the commutative and non-commutative settings.
The Arithmetic Of Function Fields
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Author : David Goss
language : en
Publisher: Walter de Gruyter
Release Date : 2011-06-24
The Arithmetic Of Function Fields written by David Goss and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-24 with Mathematics categories.
Thisseries is devoted to the publication of monographs, lecture resp. seminar notes, and other materials arising from programs of the OSU Mathemaical Research Institute. This includes proceedings of conferences or workshops held at the Institute, and other mathematical writings.
Drinfeld Modules
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Author : Mihran Papikian
language : en
Publisher: Springer Nature
Release Date : 2023-03-31
Drinfeld Modules written by Mihran Papikian and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-31 with Mathematics categories.
This textbook offers an introduction to the theory of Drinfeld modules, mathematical objects that are fundamental to modern number theory. After the first two chapters conveniently recalling prerequisites from abstract algebra and non-Archimedean analysis, Chapter 3 introduces Drinfeld modules and the key notions of isogenies and torsion points. Over the next four chapters, Drinfeld modules are studied in settings of various fields of arithmetic importance, culminating in the case of global fields. Throughout, numerous number-theoretic applications are discussed, and the analogies between classical and function field arithmetic are emphasized. Drinfeld Modules guides readers from the basics to research topics in function field arithmetic, assuming only familiarity with graduate-level abstract algebra as prerequisite. With exercises of varying difficulty included in each section, the book is designed to be used as the primary textbook for a graduate course on the topic, and may also provide a supplementary reference for courses in algebraic number theory, elliptic curves, and related fields. Furthermore, researchers in algebra and number theory will appreciate it as a self-contained reference on the topic.
Abelian Varieties And Number Theory
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Author : Moshe Jarden
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-05-03
Abelian Varieties And Number Theory written by Moshe Jarden and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-03 with Education categories.
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.
The Bigraded Rumin Complex Via Differential Forms
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Author : Jeffrey S. Case
language : en
Publisher: American Mathematical Society
Release Date : 2025-02-21
The Bigraded Rumin Complex Via Differential Forms written by Jeffrey S. Case and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-21 with Mathematics categories.
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Steady Gradient K Hler Ricci Solitons On Crepant Resolutions Of Calabi Yau Cones
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Author : Ronan J. Conlon
language : en
Publisher: American Mathematical Society
Release Date : 2025-04-02
Steady Gradient K Hler Ricci Solitons On Crepant Resolutions Of Calabi Yau Cones written by Ronan J. Conlon and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-02 with Mathematics categories.
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Spatial Populations With Seed Bank Renormalisation On The Hierarchical Group
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Author : Andreas Greven
language : en
Publisher: American Mathematical Society
Release Date : 2025-04-02
Spatial Populations With Seed Bank Renormalisation On The Hierarchical Group written by Andreas Greven and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-02 with Mathematics categories.
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Rock Blocks For Double Covers Of Symmetric Groups And Quiver Hecke Superalgebras
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Author : Alexander S. Kleshchev
language : en
Publisher: American Mathematical Society
Release Date : 2025-05-16
Rock Blocks For Double Covers Of Symmetric Groups And Quiver Hecke Superalgebras written by Alexander S. Kleshchev and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-16 with Mathematics categories.
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Regularity For Orlicz Phase Problems
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Author : Sumiya Baasandorj
language : en
Publisher: American Mathematical Society
Release Date : 2025-05-29
Regularity For Orlicz Phase Problems written by Sumiya Baasandorj and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-29 with Mathematics categories.
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