Twists of Elliptic Curves

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dc.contributor.authorKronberg, M.
dc.contributor.authorSoomro, M.A.
dc.contributor.authorTop, J.
dc.date.accessioned2019-02-19T19:45:04Z
dc.date.available2019-02-19T19:45:04Z
dc.date.issued2017
dc.description.abstractIn this note we extend the theory of twists of elliptic curves as presented in various standard texts for characteristic not equal to two or three to the remaining characteristics. For this, we make explicit use of the correspondence between the twists and the Galois cohomology set H¹(GK¯/K,AutK¯(E)). The results are illustrated by examples.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Special Issue on Modular Forms and String Theory in honor of Noriko Yui. The full collection is available at http://www.emis.de/journals/SIGMA/modular-forms.html. It is a pleasure to thank Joe Silverman, John Cremona, Nurdag¨ul Anbar Meidl, and Jan Stef fen M¨uller for helpful comments, advise, and support while preparing this paper. We are especially grateful for the many useful suggestions of the two referees of the first draft of this, which we hope have improved the readability of the text a lot.uk_UA
dc.identifier.citationTwists of Elliptic Curves / M. Kronberg, M.A. Soomro, J. Top // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 24 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 11G05; 11G25; 14G1
dc.identifier.otherDOI:10.3842/SIGMA.2017.083
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/149277
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleTwists of Elliptic Curvesuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13, випуск за цей рік