The Eckardt point configuration of cubic surfaces revisited

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dc.authorscopusid6603595751
dc.authorscopusid57200967508
dc.contributor.authorBetten, Anton
dc.contributor.authorKaraoğlu, Fatma
dc.date.accessioned2022-05-11T14:32:18Z
dc.date.available2022-05-11T14:32:18Z
dc.date.issued2022
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractThe classification problem for cubic surfaces with 27 lines is concerned with describing a complete set of the projective equivalence classes of such surfaces. Despite a long history of work, the problem is still open. One approach is to use a coarser equivalence relation based on geometric invariants. The Eckardt point configuration is one such invariant. It can be used as a coarse-grain case distinction in the classification problem. We provide an explicit parametrization of the equations of cubic surfaces with a given Eckardt point configuration over any field. Our hope is that this will be a step towards the bigger goal of classifying all cubic surfaces with 27 lines.
dc.identifier.doi10.1007/s10623-021-00999-w
dc.identifier.issn0925-1022
dc.identifier.issn1573-7586
dc.identifier.scopus2-s2.0-85122390392
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1007/s10623-021-00999-w
dc.identifier.urihttps://hdl.handle.net/20.500.11776/7453
dc.identifier.wosWOS:000739246900001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorKaraoğlu, Fatma
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofDesigns Codes and Cryptography
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectFinite geometry
dc.subjectCubic surface
dc.subjectEckardt point
dc.subjectClassification
dc.subjectNormal form
dc.titleThe Eckardt point configuration of cubic surfaces revisited
dc.typeArticle

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