4 papers
On the Betti numbers of the tangent cones for Gorenstein Monomial Curves
Pınar Mete
The aim of the article is to study the Betti numbers of the tangent cone of Gorenstein monomial curves in affine 4-space. If is a non-complete intersection Gorenstein monomia…
Minimal Free Resolutions of the Tangent Cones of Gorenstein Monomial Curves
Pınar Mete, Esra Emine Zengin
We study the minimal free resolution of the tangent cone of Gorenstein monomial curves in affine 4-space. We give the explicit minimal free resolution of the tangent cone of non-co…
Minimal free resolution of the associated graded ring of certain monomial curves
Pinar Mete, Esra Emine Zengin
In this article, we give the explicit minimal free resolution of the associated graded ring of certain affine monomial curves in affine 4-space based on the standard basis theory.…
Toric ideals of simple surface singularities
Gülay Kaya, Pınar Mete, Mesut Şahin
In this paper, we study a class of toric ideals obtained by using some geometric data of ADE trees which are the minimal resolution graphs of rational surface singularities. We com…