Title: Arithmetic Geometry over Global Function Fields (Advanced Courses in Mathematics - CRM Barcelona)
Publisher: Birkh�user
Publication Date: 2014
Language: English
ISBN 10: 3034808526
ISBN 13: 9783034808521
Binding: Soft cover
Condition: New

About this title

Synopsis

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.

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 this title" may belong to another edition of this title.

Store Description

Australian Book seller. Wide variety of fiction and non-fiction books. Ships from Australia, USA or India

Visit Seller's Storefront

Seller's business information

sadia zaki
21, harriet court, Salisbury Plain, SA, 5107, Australia

Sale & Shipping Terms

Terms of Sale

Ships from Australia , USA and India

Shipping Terms

Shipping rates are for 1 KG book. For heavy items additional charges may be requested

Shipping rates from Australia to U.S.A.

Shipping rates from Australia to U.S.A.
Order quantity	4 to 13 business days	3 to 6 business days
First item	US$ 0.00	US$ 15.00

Delivery times are set by sellers and vary by carrier and location. Orders passing through Customs may face delays and buyers are responsible for any associated duties or fees. Sellers may contact you regarding additional charges to cover any increased costs to ship your items.