Hilbert series of tangent cones for Gorenstein monomial curves in A4(K)

Katsabekis, Anargyros2022-02-172022-02-172021-01-211300-0098http://hdl.handle.net/11693/77468In 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.EnglishHilbert seriesTangent coneGorenstein monomial curveHilbert series of tangent cones for Gorenstein monomial curves in A4(K)Article10.3906/mat-2011-471303-6149