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Explicit second p-descent on elliptic curves

Title data

Creutz, Brendan:
Explicit second p-descent on elliptic curves.
2010
( Doctoral thesis, 2010 , Jacobs University Bremen)

Official URL: Volltext

Abstract in another language

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.

Further data

Item Type: Doctoral thesis
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 05 May 2017 06:05
Last Modified: 05 May 2017 06:05
URI: https://eref.uni-bayreuth.de/id/eprint/36979