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math.AC2018★ 4 cited
Betti numbers for certain Cohen-Macaulay tangent cones
Mesut Şahin, Nil Şahin
In this article, we compute Betti numbers for a Cohen-Macaulay tangent cone of a monomial curve in the affine -space corresponding to a pseudo symmetric numerical semigroup. As…
math.AC2015
Equations defining recursive extensions as set theoretic complete intersections
Tran Hoai Ngoc Nhan, Mesut Şahin
Based on the fact that projective monomial curves in the plane are complete intersections, we give an effective inductive method for creating infinitely many monomial curves in the…
math.AC2015
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…