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Item Details
Title: COMPUTATIONAL ARITHMETIC GEOMETRY
By: Kristin Lauter (Editor), Kenneth A. Ribet (Editor)
Format: Paperback

List price: £114.00


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ISBN 10: 0821843206
ISBN 13: 9780821843208
Publisher: AMERICAN MATHEMATICAL SOCIETY
Pub. date: 15 November, 2008
Series: Contemporary Mathematics No. 463
Pages: 129
Description: The AMS Special Session on Computational Arithmetic Geometry, held on April 29-30, 2006, in San Francisco, CA, gathered together many of the people working on the computational and algorithmic aspects of arithmetic geometry. This volume contains research articles related to talks given at the session.
Synopsis: With the recent increase in available computing power, new computations are possible in many areas of arithmetic geometry. To name just a few examples, Cremona's tables of elliptic curves now go up to conductor 120,000 instead of just conductor 1,000, tables of Hilbert class fields are known for discriminant up to at least 5,000, and special values of Hilbert and Siegel modular forms can be calculated to extremely high precision. In many cases, these experimental capabilities have led to new observations and ideas for progress in the field. They have also led to natural algorithmic questions on the feasibility and efficiency of many computations, especially for the purpose of applications in cryptography. The AMS Special Session on Computational Arithmetic Geometry, held on April 29-30, 2006, in San Francisco, CA, gathered together many of the people currently working on the computational and algorithmic aspects of arithmetic geometry. This volume contains research articles related to talks given at the session. The majority of articles are devoted to various aspects of arithmetic geometry, mainly with a computational approach.
Illustrations: Illustrations
Publication: US
Imprint: American Mathematical Society
Returns: Returnable
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