Email this article Versal families of elliptic curves with rational 3-torsion
- Authors: Bekker B.M.1, Zarhin Y.G.2
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Affiliations:
- St. Petersburg State University, Mathematics and Mechanics Faculty
- Department of Mathematics, Pennsylvania State University
- Issue: Vol 212, No 3 (2021)
- Pages: 6-19
- Section: Articles
- URL: https://bakhtiniada.ru/0368-8666/article/view/142349
- DOI: https://doi.org/10.4213/sm9429
- ID: 142349
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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 $\mathbb Z/3\mathbb Z\oplus \mu_3$ as a Galois module. Bibliography: 10 titles.
Keywords
About the authors
Boris Mikhailovich Bekker
St. Petersburg State University, Mathematics and Mechanics Faculty
Email: bekker@pdmi.ras.ru
Candidate of physico-mathematical sciences, Associate professor
Yuri Gennad'evich Zarhin
Department of Mathematics, Pennsylvania State University
Email: zarhin@math.psu.edu
Doctor of physico-mathematical sciences, Professor
References
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