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

Viada Evelina

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arXiv · 0711.3537

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

Viada Evelina

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Abstract

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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Viada Evelina. 2008-06-03. The intersection of a curve with a union of translated codimension 2 subgroups in a power of an elliptic curve. https://arxiv.org/abs/0711.3537

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