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arXiv · 2105.04012

On the Betti numbers of the tangent cones for Gorenstein Monomial Curves

Pınar Mete
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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 non-complete 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).

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Pınar Mete. 2021-05-09. On the Betti numbers of the tangent cones for Gorenstein Monomial Curves. https://arxiv.org/abs/2105.04012

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