Browsing by Keywords "Tangent cone"
Now showing items 1-5 of 5
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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, ... -
Cohen-macaulayness of tangent cones
(2000)We give a criterion for checking the Cohen-Macaulayness of the tangent cone of a monomial curve by using the Gröbner basis. For a family of monomial curves, we give the full description of the defining ideal of the curve ... -
Complete intersection monomial curves and the Cohen—Macaulayness of their tangent cones
(World Scientific Publishing, 2019)Let C(n) be a complete intersection monomial curve in the 4-dimensional affine space. In this paper we study the complete intersection property of the monomial curve C(n + wv), where w > 0 is an integer and v ∈ ℕ4. In ... -
On pseudo symmetric monomial curves
(Taylor & Francis, 2017-12-15)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 ... -
On the Cohen–Macaulayness of tangent cones of monomial curves in A 4 (K)
(TÜBİTAK, 2019-05)In this paper we give necessary and sufficient conditions for the Cohen–Macaulayness of the tangent cone of a monomial curve in 4-dimensional affine space. We particularly study the case where C is a Gorenstein noncomplete ...
