Betti numbers for certain Cohen-Macaulay tangent cones
classification
🧮 math.AC
math.AG
keywords
betticohen-macaulayhomogeneousnumberstangentaffinearticlebyproduct
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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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