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An addendum to the elliptic torsion anomalous conjecture in codimension 2 - MaRDI portal

An addendum to the elliptic torsion anomalous conjecture in codimension 2 (Q2313585)

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An addendum to the elliptic torsion anomalous conjecture in codimension 2
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    An addendum to the elliptic torsion anomalous conjecture in codimension 2 (English)
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    19 July 2019
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    Summary: 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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    effective diophantine approximation
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    height
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    anomalous intersections
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