Betti numbers for certain Cohen–Macaulay tangent cones
Bulletin of the Australian Mathematical Society
Cambridge University Press
68 - 77
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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.