Hilbert series of tangent cones for Gorenstein monomial curves in A4(K)
Date
2021-01-21
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Source Title
Turkish Journal of Mathematics
Print ISSN
1300-0098
Electronic ISSN
1303-6149
Publisher
Scientific and Technical Research Council of Turkey - TUBITAK,Turkiye Bilimsel ve Teknik Arastirma Kurumu
Volume
45
Issue
1
Pages
597 - 616
Language
English
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Abstract
In this paper, we study the Hilbert series of the tangent cone of Gorenstein monomial curves in the 4- dimensional affine space. We give an explicit formula for the reduced Hilbert series of the tangent cone of a noncomplete intersection Gorenstein monomial curve whose tangent cone is Cohen–Macaulay.