Turkish Journal of Mathematics
Abstract
The aim of the article is to study the Betti numbers of the tangent cone of Gorenstein monomial curves in affine 4-space. If $C_S$ is a noncomplete intersection Gorenstein monomial curve whose tangent cone is Cohen--Macaulay, we show that the possible Betti sequences are (1,5,5,1), (1,5,6,2) and (1,6,8,3).
DOI
10.3906/mat-2105-32
Keywords
Gorenstein monomial curves, tangent cones, Betti numbers
First Page
2603
Last Page
2613
Recommended Citation
METE, PINAR
(2021)
"On the Betti numbers of the tangent cones for Gorenstein monomial curves,"
Turkish Journal of Mathematics: Vol. 45:
No.
6, Article 15.
https://doi.org/10.3906/mat-2105-32
Available at:
https://journals.tubitak.gov.tr/math/vol45/iss6/15
