Versal families of elliptic curves with rational 3-torsion

B. M. Bekker; Yu G. Zarhin

doi:10.1070/SM9429

Versal families of elliptic curves with rational 3-torsion

B. M. Bekker, Yu G. Zarhin

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	274-287
Number of pages	14
Journal	Sbornik Mathematics
Volume	212
Issue number	3
DOIs	https://doi.org/10.1070/SM9429
State	Published - Mar 2021

All Science Journal Classification (ASJC) codes

Mathematics (miscellaneous)

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10.1070/SM9429

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title = "Versal families of elliptic curves with rational 3-torsion",

abstract = "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.",

author = "Bekker, \{B. M.\} and Zarhin, \{Yu G.\}",

note = "Publisher Copyright: {\textcopyright} 2021 Russian Academy of Sciences (DoM) and London Mathematical Society.",

year = "2021",

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doi = "10.1070/SM9429",

language = "English (US)",

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AU - Bekker, B. M.

AU - Zarhin, Yu G.

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AB - 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.

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JO - Sbornik Mathematics

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Versal families of elliptic curves with rational 3-torsion

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