On elliptic curves with a closed component passing through a hexagon

dc.contributor.authorKureš, Miroslavcs
dc.coverage.issue2cs
dc.coverage.volume27cs
dc.date.accessioned2020-08-04T11:03:08Z
dc.date.available2020-08-04T11:03:08Z
dc.date.issued2019-06-01cs
dc.description.abstractIn general, there exists an ellipse passing through the vertices of a convex pentagon, but there is no ellipse passing through the vertices of a convex hexagon. Thus, attention is turned to algebraic curves of the third degree, namely to the closed component of certain elliptic curves. This closed curve will be called the spekboom curve. Results of numerical experiments and some hypotheses regarding hexagons of special shape connected with the existence of this curve passing through the vertices are presented and suggested. Some properties of the spekboom curve are described, too.en
dc.formattextcs
dc.format.extent67-82cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationAnalele Stiintifice Ale Universitatii Ovidius Constanta, Seria Matematica. 2019, vol. 27, issue 2, p. 67-82.en
dc.identifier.doi10.2478/auom-2019-0019cs
dc.identifier.issn1224-1784cs
dc.identifier.other157202cs
dc.identifier.urihttp://hdl.handle.net/11012/178355
dc.language.isoencs
dc.publisherOvidius Universitycs
dc.relation.ispartofAnalele Stiintifice Ale Universitatii Ovidius Constanta, Seria Matematicacs
dc.relation.urihttp://www.anstuocmath.ro/mathematics/anale2019vol2/03_Kures.pdfcs
dc.rights(C) Ovidius Universitycs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/1224-1784/cs
dc.subjectalgebraic closed curvesen
dc.subjectelliptic curveen
dc.subjecthexagonen
dc.titleOn elliptic curves with a closed component passing through a hexagonen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-157202en
sync.item.dbtypeVAVen
sync.item.insts2020.08.04 13:03:08en
sync.item.modts2020.08.04 12:20:29en
thesis.grantorVysoké učení technické v Brně. Fakulta strojního inženýrství. Ústav matematikycs
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