Publication: A universal formula for the j-invariant of the canonical lifting
| dc.contributor.department | Department of Mathematics | |
| dc.contributor.kuauthor | Erdoğan, Altan | |
| dc.contributor.kuprofile | Teaching Faculty | |
| dc.contributor.other | Department of Mathematics | |
| dc.contributor.schoolcollegeinstitute | College of Sciences | |
| dc.contributor.yokid | N/A | |
| dc.date.accessioned | 2024-11-09T23:18:08Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | We 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.indexedby | WoS | |
| dc.description.indexedby | Scopus | |
| dc.description.openaccess | YES | |
| dc.description.publisherscope | International | |
| dc.description.sponsorship | TUBITAK[2211] This work has been supported by the grant #2211 of TUBITAK(an agency of Turkish government). | |
| dc.description.volume | 150 | |
| dc.identifier.doi | 10.1016/j.jnt.2014.11.002 | |
| dc.identifier.eissn | 1096-1658 | |
| dc.identifier.issn | 0022-314X | |
| dc.identifier.quartile | Q3 | |
| dc.identifier.scopus | 2-s2.0-84920987200 | |
| dc.identifier.uri | http://dx.doi.org/10.1016/j.jnt.2014.11.002 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14288/10337 | |
| dc.identifier.wos | 349510900003 | |
| dc.keywords | Elliptic curves | |
| dc.keywords | Serre-tate theorem | |
| dc.keywords | Canonical lifting | |
| dc.language | English | |
| dc.publisher | Elsevier | |
| dc.source | Journal of Number Theory | |
| dc.subject | Mathematics | |
| dc.title | A universal formula for the j-invariant of the canonical lifting | |
| dc.type | Journal Article | |
| dspace.entity.type | Publication | |
| local.contributor.authorid | 0000-0001-5113-1906 | |
| local.contributor.kuauthor | Erdoğan, Altan | |
| relation.isOrgUnitOfPublication | 2159b841-6c2d-4f54-b1d4-b6ba86edfdbe | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 2159b841-6c2d-4f54-b1d4-b6ba86edfdbe |