Turkish Journal of Mathematics
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, A (2021). Hilbert series of tangent cones for Gorenstein monomial curves in $\mathbb{A}^{4}(K)$. Turkish Journal of Mathematics 45 (1): 597-616. https://doi.org/10.3906/mat-2011-47