An Addendum to the elliptic torsion anomalous conjecture in codimension 2

  • Patrik Hubschmid

    Georg-August-Universität Göttingen, Germany
  • Evelina Viada

    Georg-August-Universität Göttingen, Germany
An Addendum to the elliptic torsion anomalous conjecture in codimension 2 cover

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Abstract

The torsion anomalous conjecture states that for any variety in an abelian variety there are only finitely many maximal -torsion anomalous varieties. We prove this conjecture for of codimension 2 in a product of an elliptic curve without CM, complementing previous results for with CM. We also give an effective upper bound for the normalized height of these maximal -torsion anomalous varieties.

Cite this article

Patrik Hubschmid, Evelina Viada, An Addendum to the elliptic torsion anomalous conjecture in codimension 2. Rend. Sem. Mat. Univ. Padova 141 (2019), pp. 209–220

DOI 10.4171/RSMUP/23