Nonsingular cubic surfaces over F(2)k

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dc.authorid0000-0003-2020-7829
dc.authorscopusid57200967508
dc.contributor.authorKaraoğlu, Fatma
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 perform an opportunistic search for cubic surfaces over small fields of characteristic two. The starting point of our work is a list of surfaces complied by Dickson over the field with two elements. We consider the nonsingular ones arising in Dickson' s work for the fields of larger orders of characteristic two. We investigate the properties such as the number of lines, singularities and automorphism groups. The problem of determining the possible numbers of lines of a nonsingular cubic surface over the fields of C, R, Q, Fq where q odd, F2 was considered by Cayley and Salmon, Schlafli, Segre, Rosati and Dickson, respectively. Our work contributes this problem over the larger fields of even characteristic. Besides that we investigate the structure of nonsingular surfaces with 15 and 9 lines. This work is a contribution to the study of nonsingular cubic surfaces with less than 27 lines.
dc.description.sponsorshipScientific and Technological Research Council of Turkey (TuBTAK)Turkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK) [1059B192000479]
dc.description.sponsorshipThis work is supported by the Scientific and Technological Research Council of Turkey (TuBTAK) under grant no. 1059B192000479.
dc.identifier.doi10.3906/mat-2102-10
dc.identifier.endpage2510
dc.identifier.issn1300-0098
dc.identifier.issn1303-6149
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-85121806805
dc.identifier.scopusqualityQ2
dc.identifier.startpage2492
dc.identifier.trdizinid528531
dc.identifier.urihttps://doi.org/10.3906/mat-2102-10
dc.identifier.urihttps://hdl.handle.net/20.500.11776/7449
dc.identifier.volume45
dc.identifier.wosWOS:000714958000001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.indekslendigikaynakTR-Dizin
dc.institutionauthorKaraoğlu, Fatma
dc.language.isoen
dc.publisherScientific Technical Research Council Turkey-Tubitak
dc.relation.ispartofTurkish Journal of Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectGeometry
dc.subjectfinite field
dc.subjectcubic surface
dc.subjectnumber of lines
dc.subjectDickson surfaces
dc.titleNonsingular cubic surfaces over F(2)k
dc.typeArticle

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