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.

DOI

10.3906/mat-2011-47

Keywords

Hilbert series, tangent cone, Gorenstein monomial curve

First Page

597

Last Page

616

Recommended Citation

KATSABEKIS, ANARGYROS (2021) "Hilbert series of tangent cones for Gorenstein monomial curves in $\mathbb{A}^{4}(K)$," Turkish Journal of Mathematics: Vol. 45: No. 1, Article 38. https://doi.org/10.3906/mat-2011-47
Available at: https://journals.tubitak.gov.tr/math/vol45/iss1/38