Browsing by Keywords "Tangent cone"

Now showing items 1-6 of 6

    • 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, ...

    • Cohen-macaulayness of tangent cones 

      Arslan, Feza (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 

      Katsabekis, Anargyros (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 ...

    • Hilbert series of tangent cones for Gorenstein monomial curves in A4(K) 

      Katsabekis, Anargyros (Scientific and Technical Research Council of Turkey - TUBITAK,Turkiye Bilimsel ve Teknik Arastirma Kurumu, 2021-01-21)
      In this paper, we study the Hilbert series of the tangent cone of Gorenstein monomial curves in the 4- dimensional affine space. We give an explicit formula for the reduced Hilbert series of the tangent cone of a ...

    • 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 ...

    • On the Cohen–Macaulayness of tangent cones of monomial curves in A 4 (K) 

      Arslan, F.; Katsabekis, Anargyros; Nalbandıyan, M. (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 ...