Arithmetic Geometry Over Global Function Fields
Language: English
Published by Birkhäuser, 2014
Series: Book 16 of 35 - Advanced Courses in Mathematics - CRM Barcelona
- Softcover
- New
Seller: Basi6 International, Irving, TX, U.S.A.Basi6 International
AbeBooks seller since June 24, 2016
Item description from seller
Seller Inventory # ABEOCT25-15628
- Title
- Arithmetic Geometry Over Global Function Fields
- Author
- 0
- Publisher
- Birkhäuser
- Publication year
- 2014
- Condition
- Brand New
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 3034808526
- ISBN 13
- 9783034808521
- Series
- Book 16 of 35: Advanced Courses in Mathematics - CRM Barcelona
"Synopsis" may belong to another edition of this title.
From the Back Cover
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.
"About the title" may belong to another edition of this title.
Basi6 International
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AbeBooks seller since June 24, 2016
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