On the Hilbert series of the tangent cones for some 4-generated pseudosymmetric monomial curves

Authors: NİL ŞAHİN

Abstract: In this article, we study Hilbert series of non-Cohen-Maculay tangent cones for some 4-generated pseudosymmetric monomial curves. We show that the Hilbert function is nondecreasing by explicitly computing it. We also compute standard bases of these toric ideals.

Keywords: Hilbert function, tangent cone, monomial curve, numerical semigroup, standard bases

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