Browsing by Keywords "Hilbert function"
Now showing items 1-4 of 4
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4-generated pseudo symmetric monomial curves with not Cohen–Macaulay tangent cones
(TUBITAK, 2020)In this article, standard bases of some toric ideals associated to 4-generated pseudo symmetric semigroups with not Cohen-Macaulay tangent cones at the origin are computed. As the tangent cones are not Cohen-Macaulay, ... -
A fast algorithm for constructing Arf closure and a conjecture
(Academic Press, 2014)In this article, we give a fast and an easily implementable algorithm for computing the Arf closure of an irreducible algebroid curve (or a branch). Moreover, we study the relation between the branches having the same Arf ... -
Monomial curves and the Cohen-Macaulayness of their tangent cones
(Bilkent University, 1999)In this thesis, we show that in affine /-space with / > 4, there are monomial curves with arbitrarily large minimal number of generators of the tangent cone and still having Cohen-Macaulay tangent cone. In order to prove ... -
On pseudo symmetric monomial curves
(Taylor & Francis, 2018)We study monomial curves, toric ideals and monomial algebras associated to 4-generated pseudo symmetric numerical semigroups. Namely, we determine indispensable binomials of these toric ideals, give a characterization ...