Hilbert series of tangent cones for Gorenstein monomial curves in $\mathbb{A}^{4}(K)$

Authors: ANARGYROS KATSABEKIS

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.

Keywords: Hilbert series, tangent cone, Gorenstein monomial curve

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