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arXiv · 0711.3533

Non-dense sets of subvarieties in a power of an elliptic curve

Viada Evelina
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Abstract

Let V be an algebraic variety embedded in a power of an elliptic curve, both defined over the algebraic numbers. We show that the set of algebraic points of V which are of bounded height and which satisfy certain algebraic conditions are a non-dense subset of V. This result has implications in the context of the Pink-Zilber Conjecture and Mordel-Lang plus Bogomolov Theorem.

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Viada Evelina. 2009-05-19. Non-dense sets of subvarieties in a power of an elliptic curve. https://doi.org/10.1093/imrn%2Frnn157

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