Arithmetic Geometry over Global Function Fields

Gebhard Böckle

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5h 37m

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Arithmetic Geometry over Global Function Fields

by Gebhard Böckle, David Burns, Goss, David

2014

Springer Basel AG

337

9783034808521

Description

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.

Frequently Asked Questions

How many pages are in Arithmetic Geometry over Global Function Fields?

This edition of Arithmetic Geometry over Global Function Fields has approximately 337 pages. Please note, this is an estimate and the exact page count can vary between hardcover, paperback, and e-book versions.

How long does it take to read Arithmetic Geometry over Global Function Fields?

For most readers, Arithmetic Geometry over Global Function Fields typically takes between 7h 1m and 4h 41m to complete. This is based on the book's length of approximately 84,250 words and common reading speeds.

Here's a detailed breakdown: • Continuous reading at 250 WPM: approximately 5h 37m of focused reading • Casual reading (30 minutes/day): you could finish in roughly 12 days • Estimated word count: 84,250 words

Your individual reading time will vary based on your personal reading pace, the amount of daily reading time, and your familiarity with the subject matter.

What is the word count of Arithmetic Geometry over Global Function Fields?

The estimated word count for Arithmetic Geometry over Global Function Fields is approximately 84,250 words. This figure is calculated using industry-standard methods that consider genre-specific word density patterns, typical formatting and layout characteristics, and standard words-per-page ratios for published books.

This is an approximation — actual word count may vary based on font size, formatting, edition, and the presence of illustrations or charts.

Who is the author of Arithmetic Geometry over Global Function Fields?

Arithmetic Geometry over Global Function Fields was written by Gebhard Böckle, David Burns, Goss, David.

When was Arithmetic Geometry over Global Function Fields published?

The publication date for this specific edition is 2014. The original work may have been published on a different date.