On the Cohen–Macaulayness of tangent cones of monomial curves in A 4 (K)

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buir.contributor.authorKatsabekis, Anargyros
dc.citation.epage1446en_US
dc.citation.issueNumber3en_US
dc.citation.spage1425en_US
dc.citation.volumeNumber43en_US
dc.contributor.authorArslan, F.en_US
dc.contributor.authorKatsabekis, Anargyrosen_US
dc.contributor.authorNalbandıyan, M.en_US
dc.date.accessioned2020-02-24T06:31:33Z
dc.date.available2020-02-24T06:31:33Z
dc.date.issued2019-05
dc.departmentDepartment of Mathematicsen_US
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.identifier.doi10.3906/mat-1805-99en_US
dc.identifier.issn1300-0098
dc.identifier.urihttp://hdl.handle.net/11693/53474
dc.language.isoEnglishen_US
dc.publisherTÜBİTAKen_US
dc.relation.isversionofhttps://dx.doi.org/10.3906/mat-1805-99en_US
dc.source.titleTurkish Journal of Mathematicsen_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 A 4 (K)en_US
dc.typeArticleen_US

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