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Versal families of elliptic curves with rational 3-torsion. / Bekker, B. M.; Zarhin, Yu G.

In: Sbornik Mathematics, Vol. 212, No. 3, 03.2021, p. 274-287.

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

Harvard

Bekker, BM & Zarhin, YG 2021, 'Versal families of elliptic curves with rational 3-torsion', Sbornik Mathematics, vol. 212, no. 3, pp. 274-287. https://doi.org/10.1070/sm9429

APA

Bekker, B. M., & Zarhin, Y. G. (2021). Versal families of elliptic curves with rational 3-torsion. Sbornik Mathematics, 212(3), 274-287. https://doi.org/10.1070/sm9429

Vancouver

Bekker BM, Zarhin YG. Versal families of elliptic curves with rational 3-torsion. Sbornik Mathematics. 2021 Mar;212(3):274-287. https://doi.org/10.1070/sm9429

Author

Bekker, B. M. ; Zarhin, Yu G. / Versal families of elliptic curves with rational 3-torsion. In: Sbornik Mathematics. 2021 ; Vol. 212, No. 3. pp. 274-287.

BibTeX

@article{6ec27a4cc234429dbd028f8cf26f03fa,
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.",
keywords = "elliptic curves, Galois modules, torsion points",
author = "Bekker, {B. M.} and Zarhin, {Yu G.}",
note = "Publisher Copyright: {\textcopyright} 2021 Russian Academy of Sciences (DoM) and London Mathematical Society. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",
year = "2021",
month = mar,
doi = "10.1070/sm9429",
language = "English",
volume = "212",
pages = "274--287",
journal = "Sbornik Mathematics",
issn = "1064-5616",
publisher = "Turpion Ltd.",
number = "3",

}

RIS

TY - JOUR

T1 - Versal families of elliptic curves with rational 3-torsion

AU - Bekker, B. M.

AU - Zarhin, Yu G.

N1 - Publisher Copyright: © 2021 Russian Academy of Sciences (DoM) and London Mathematical Society. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2021/3

Y1 - 2021/3

N2 - 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.

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.

KW - elliptic curves

KW - Galois modules

KW - torsion points

UR - http://www.scopus.com/inward/record.url?scp=85106664948&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/bb9f08ba-60d9-31ba-b708-e0afd4e12274/

U2 - 10.1070/sm9429

DO - 10.1070/sm9429

M3 - Article

AN - SCOPUS:85106664948

VL - 212

SP - 274

EP - 287

JO - Sbornik Mathematics

JF - Sbornik Mathematics

SN - 1064-5616

IS - 3

ER -

ID: 77298867