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 an elliptic curve E without CM, complementing previous results for E with CM. We also give an effective upper bound for the normalized height of these maximal V -torsion anomalous varieties.

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