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A note on Galois embeddings of abelian varieties

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An Erratum to this article was published on 12 November 2018

An Erratum to this article was published on 12 November 2018

This article has been updated

Abstract

In this note we show that if an abelian variety possesses a Galois embedding into some projective space, then it must be isogenous to the self product of an elliptic curve. We prove moreover that the self product of an elliptic curve always has infinitely many Galois embeddings.

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Change history

  • 12 November 2018

    The original Theorem in the article is revised in this erratum based on a referee’s request.

  • 12 November 2018

    The original Theorem in the article is revised in this erratum based on a referee���s request.

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Authors and Affiliations

  1. Departamento de Matemáticas, Facultad de Ciencias, Universidad de Chile, Santiago, Chile

    Robert Auffarth

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  1. Robert Auffarth
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Correspondence to Robert Auffarth.

Additional information

Partially supported by Fondecyt Grant 3150171 and CONICYT PIA ACT1415.

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Auffarth, R. A note on Galois embeddings of abelian varieties. manuscripta math. 154, 279–284 (2017). https://doi.org/10.1007/s00229-017-0921-z

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  • DOI: https://doi.org/10.1007/s00229-017-0921-z

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