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, P (2021). On the Betti numbers of the tangent cones for Gorenstein monomial curves. Turkish Journal of Mathematics 45 (6): 2603-2613. https://doi.org/10.3906/mat-2105-32

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