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arXiv · 1803.07287

Betti numbers for certain Cohen-Macaulay tangent cones

Mesut Şahin·Nil Şahin
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Abstract

In this article, we compute Betti numbers for a Cohen-Macaulay tangent cone of a monomial curve in the affine $4$-space corresponding to a pseudo symmetric numerical semigroup. As a byproduct, we also show that for these semigroups, being of homogeneous type and homogeneous are equivalent properties.

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Mesut Şahin, Nil Şahin. 2018-10-02. Betti numbers for certain Cohen-Macaulay tangent cones. https://doi.org/10.1017/s0004972718000898

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