Browsing by Subject "Betti numbers"

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    Betti numbers for certain Cohen–Macaulay tangent cones
    (Cambridge University Press, 2019) Şahin, M.; Şahin, Nil
    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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    Free resolutions for the tangent cones of some homogeneous pseudo symmetric monomial curves
    (Ankara University, 2023-03-30) Şahin, Nil
    In this article, we study minimal graded free resolutions of Cohen-Macaulay tangent cones of some monomial curves associated to 4-generated pseudo symmetric numerical semigroups. We explicitly give the matrices in these minimal free resolutions.