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arXiv · 1604.05741

The elliptic torsion anomalous conjecture in codimension 2

Patrik Hubschmid·Evelina Viada
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Abstract

The torsion anomalous conjecture states that for any variety V in an abelian variety there are only finitely many maximal V-torsion anomalous varieties. We prove this conjecture for V of codimension 2 in a product E^N of any elliptic curve E. This was known only when E has CM. We also give an effective upper bound for the normalized height of these maximal V-torsion anomalous varieties.

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Patrik Hubschmid, Evelina Viada. 2016-04-19. The elliptic torsion anomalous conjecture in codimension 2. https://arxiv.org/abs/1604.05741

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