Browsing by Keywords "Hilbert function"

Now showing items 1-4 of 4

    • 4-generated pseudo symmetric monomial curves with not Cohen–Macaulay tangent cones 

      Şahin, Nil (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 

      Arslan, F.; Şahin, N. (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 

      Arslan, Sefa Feza (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 

      Şahin, M.; Şahin, Nil (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 ...