A universal formula for the j-invariant of the canonical lifting

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dc.contributor.authorErdogan, Altan
dc.date.accessioned2025-10-29T11:26:17Z
dc.date.issued2015
dc.departmentGebze Teknik Üniversitesi
dc.description.abstractWe study the j-invariant of the canonical lifting of an elliptic curve as a Witt vector. We prove that its Witt coordinates lie in an open affine subset of the j-line and deduce the existence of a universal formula for the j-invariant of the canonical lifting. The canonical lifting of the elliptic curves with j-invariant 0 and 1728 over any characteristic is also explicitly found. (C) 2015 Elsevier Inc. All rights reserved.
dc.description.sponsorshipTUBITAK [2211]
dc.description.sponsorshipThis work has been supported by the grant #2211 of TUBITAK (an agency of Turkish government).
dc.identifier.doi10.1016/j.jnt.2014.11.002
dc.identifier.endpage40
dc.identifier.issn0022-314X
dc.identifier.issn1096-1658
dc.identifier.orcid0000-0001-5113-1906
dc.identifier.startpage26
dc.identifier.urihttps://doi.org/10.1016/j.jnt.2014.11.002
dc.identifier.urihttps://hdl.handle.net/20.500.14854/10211
dc.identifier.volume150
dc.identifier.wosWOS:000349510900003
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.institutionauthorErdogan, Altan
dc.language.isoen
dc.publisherAcademic Press Inc Elsevier Science
dc.relation.ispartofJournal of Number Theory
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20251020
dc.subjectElliptic curves
dc.subjectSerre-Tate theorem
dc.subjectCanonical lifting
dc.titleA universal formula for the j-invariant of the canonical lifting
dc.typeArticle

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