Arithmetic Geometry over Global Function Fields

Arithmetic Geometry over Global Function Fiel ...
Gebhard Böckle, David Burns, G ...
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Last edited by Stew
March 21, 2022 | History

Arithmetic Geometry over Global Function Fields

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.

Publish Date
Publisher
Birkhauser Verlag
Language
English

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Edition Availability
Cover of: Arithmetic Geometry over Global Function Fields
Arithmetic Geometry over Global Function Fields
2014, Birkhauser Verlag
in English
Cover of: Arithmetic Geometry over Global Function Fields
Arithmetic Geometry over Global Function Fields
2014, Springer Basel AG
in English

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Book Details


Classifications

Library of Congress
QA241-247.5

The Physical Object

Pagination
xiv, 337

Edition Identifiers

Open Library
OL37231696M
ISBN 13
9783034808538

Work Identifiers

Work ID
OL27363294W

Source records

Better World Books record

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Download catalog record: RDF / JSON / OPDS | Wikipedia citation
March 21, 2022 Edited by Stew Fix author.
February 27, 2022 Created by ImportBot Imported from Better World Books record