Explicit second p-descent on elliptic curves

Titelangaben

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

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Abstract

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.