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arXiv:0711.3537 [math.NT]AbstractReferencesReviewsResources

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

Viada Evelina

Published 2007-11-22, updated 2008-06-03Version 4

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.

Comments: 50 pages
Journal: Algebra and Number Theory, Vol.2, No 3, 2008, 249-298
Categories: math.NT, math.AG
Subjects: 14K12, 11G50, 11D45
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