Overview
- Includes 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)
- Provides an introduction to A-crystals, with applications to some of the central questions in the theory of L-functions in characteristic p
- Features a discussion of Gamma, Zeta and Multizeta functions in characteristic p, from scratch to the boundary of current research
Part of the book series: Advanced Courses in Mathematics - CRM Barcelona (ACMBIRK)
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Table of contents (5 chapters)
Keywords
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Authors, Editors and Affiliations
Bibliographic Information
Book Title: Arithmetic Geometry over Global Function Fields
Authors: Gebhard Böckle, David Burns, David Goss, Dinesh Thakur, Fabien Trihan, Douglas Ulmer
Editors: Francesc Bars, Ignazio Longhi, Fabien Trihan
Series Title: Advanced Courses in Mathematics - CRM Barcelona
DOI: https://doi.org/10.1007/978-3-0348-0853-8
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Basel 2014
Softcover ISBN: 978-3-0348-0852-1Published: 04 December 2014
eBook ISBN: 978-3-0348-0853-8Published: 13 November 2014
Series ISSN: 2297-0304
Series E-ISSN: 2297-0312
Edition Number: 1
Number of Pages: XIV, 337
Topics: Number Theory, General Algebraic Systems, Algebraic Geometry