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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| 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 |
