Versal families of elliptic curves with rational 3-torsion

For an arbitrary field of characteristic different from 2 and 3, we construct versal families of elliptic curves whose 3-torsion is either rational or isomorphic to ℤ/3ℤ⊕μs as a Galois module.

This is a preprint of the Article accepted for publication in Sbornik Mathematics, volume 212, 2021. All distribution rights are owned by Russian Academy of Sciences, Steklov Mathematical Institute of RAS. The preprint was translated from Russian to English for publication in Sbornik: Mathematics.

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Work Title Versal families of elliptic curves with rational 3-torsion
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Open Access
Creators
  1. B. M. Bekker
  2. Yu G. Zarhin
License In Copyright (Rights Reserved)
Work Type Article
Publisher
  1. Sbornik Mathematics
Publication Date March 1, 2021
Language
  1. Russian
Publisher Identifier (DOI)
  1. https://doi.org/10.1070/SM9429
Deposited December 09, 2021

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    Publisher's Statement
    • This is a preprint of the Article accepted for publication in Sbornik Mathematics, volume 212, 2021. All distribution rights are owned by Russian Academy of Sciences, Steklov Mathematical Institute of RAS.
    • This is a preprint of the Article accepted for publication in Sbornik Mathematics, volume 212, 2021. All distribution rights are owned by Russian Academy of Sciences, Steklov Mathematical Institute of RAS. The preprint was translated from Russian to English for publication in Sbornik: Mathematics.
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