Turkish Journal of Mathematics
DOI
10.3906/mat-2011-47
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
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
