Explicit Second p-Descent on Elliptic Curves

  • One of the fundamental motivating problems in arithmetic geometry is to understand the set V (k) of rational points on an algebraic variety V defined over a number field k. When V = E is an elliptic curve, this set has a natural structure as a finitely generated abelian group (the Mordell-Weil group). The problem then becomes how to determine it in practice.

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Meta data
Publishing Institution:IRC-Library, Information Resource Center der Jacobs University Bremen
Granting Institution:Jacobs Univ.
Author:Brendan Matthew Creutz
Referee:Michael Stoll, Ivan Penkov, Tom Fisher
Advisor:Michael Stoll
Persistent Identifier (URN):urn:nbn:de:101:1-2013052411253
Document Type:PhD Thesis
Language:English
Date of Successful Oral Defense:2010/08/30
Date of First Publication:2010/09/28
PhD Degree:Mathematics
Library of Congress Classification:Q Science / QA Mathematics (incl. computer science)
School:SES School of Engineering and Science
Call No:Thesis 2010/21

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