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On the Cohen-Macaulayness of tangent cones of monomial curves in A4(K)

dc.contributor.authorArslan, Feza
dc.contributor.authorKatsabekis, Anargyros
dc.contributor.authorNalbandiyan, Melissa
dc.date.accessioned2025-01-09T20:08:05Z
dc.date.available2025-01-09T20:08:05Z
dc.date.issued2019
dc.identifier.issn1300-0098
dc.identifier.issn1303-6149
dc.identifier.urihttps://doi.org/10.3906/mat-1805-99
dc.identifier.urihttps://hdl.handle.net/20.500.14124/7980
dc.description.abstractIn this paper we give necessary and sufficient conditions for the Cohen-Macaulayness of the tangent cone of a monomial curve in 4-dimensional affine space. We particularly study the case where C is a Gorenstein noncomplete intersection monomial curve and we generalize some results in the literature. Moreover, by using these results, we construct families supporting Rossi's conjecture, which is still open for monomial curves in 4-dimensional affine space.en_US
dc.description.sponsorshipTUBITAK 2221 Visiting Scientists and Scientists on Sabbatical Leave Fellowship Programen_US
dc.description.sponsorshipThe second author was supported by the TUBITAK 2221 Visiting Scientists and Scientists on Sabbatical Leave Fellowship Program.en_US
dc.language.isoengen_US
dc.publisherTubitak Scientific & Technological Research Council Turkeyen_US
dc.relation.ispartofTurkish Journal of Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCohen-Macaulayen_US
dc.subjecttangent coneen_US
dc.subjectmonomial curveen_US
dc.titleOn the Cohen-Macaulayness of tangent cones of monomial curves in A4(K)en_US
dc.typearticleen_US
dc.authorid0000-0001-5084-3071
dc.authorid0000-0001-6288-7813
dc.departmentMimar Sinan Güzel Sanatlar Üniversitesien_US
dc.identifier.doi10.3906/mat-1805-99
dc.identifier.volume43en_US
dc.identifier.issue3en_US
dc.identifier.startpage1425en_US
dc.identifier.endpage1446en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.wosqualityQ3
dc.identifier.wosWOS:000475501700027
dc.identifier.scopus2-s2.0-85067356512
dc.identifier.trdizinidTXpNMk9UZ3dNQT09
dc.identifier.trdizinid336980
dc.identifier.scopusqualityQ2
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US


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