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Betti numbers for certain Cohen-Macaulay tangent cones

Published 20 Mar 2018 in math.AC and math.AG | (1803.07287v2)

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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