The number of cubic surfaces with 27 lines over a finite field

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dc.authorid0000-0003-2020-7829
dc.authorscopusid57200967508
dc.authorscopusid6603595751
dc.contributor.authorKaraoğlu, Fatma
dc.contributor.authorBetten, Anton
dc.date.accessioned2022-05-11T14:32:18Z
dc.date.available2022-05-11T14:32:18Z
dc.date.issued2021
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractWe determine the number of cubic surfaces with 27 lines over a finite field F-q. This is based on exploiting the relationship between non-conical six-arcs in a projective plane embedded in projective three-space and cubic surfaces with 27 lines. We revisit this classical relationship, which goes back to work of Clebsch in the nineteenth century. Our result can be used as an enumerative check for a computer classification of cubic surfaces with 27 lines over finite fields.
dc.description.sponsorshipScientific and Technological Research Council of TurkeyTurkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK) [1059B211900062, 1059B192000479]
dc.description.sponsorshipFunding was provided by The Scientific and Technological Research Council of Turkey (Grant Nos. 1059B211900062 and 1059B192000479).
dc.identifier.doi10.1007/s10801-020-01009-3
dc.identifier.issn0925-9899
dc.identifier.issn1572-9192
dc.identifier.scopus2-s2.0-85099921176
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1007/s10801-020-01009-3
dc.identifier.urihttps://hdl.handle.net/20.500.11776/7450
dc.identifier.wosWOS:000611430600001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorKaraoğlu, Fatma
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofJournal of Algebraic Combinatorics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectGeometry
dc.subjectCubic surface
dc.subjectFinite field
dc.subjectCounting
dc.titleThe number of cubic surfaces with 27 lines over a finite field
dc.typeArticle

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