The intersection of a curve with a union of translated codimension 2 subgroups in a power of an elliptic curve

Details The intersection of a curve with a union of translated codimension 2 subgroups in a power of an elliptic curve The intersection of a curve with a union of translated codimension 2 subgroups in a power of an elliptic curve

2007-11-22

arxiv.org/abs/0711.3537v4

Algebra and Number Theory, Vol.2, No 3, 2008, 249-298

Mathematics

Number Theory

50 pages

Scientific paper

Let C be an algebraic curve in a power of an elliptic curve, both defined
over the algebraic numbers. We show that the set of algebraic points of C which
satisfy certain conditions is a finite set. This result has implications with
the Pink-Zilber Conjeture and the Mordel-Lang plus Bogomolov Theorem for
curves.

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