• Title, Summary, Keyword: complete intersection

Search Result 43, Processing Time 0.044 seconds

THE GENERATORS OF COMPLETE INTERSECTION

  • Kang, Oh-Jin;Ko, Hyuong-J.
    • Bulletin of the Korean Mathematical Society
    • /
    • v.37 no.4
    • /
    • pp.829-841
    • /
    • 2000
  • We classify complete intersections I of grade 3 in a regular local ring (R, M) by the number of minimal generators of a minimal prime ideal P over I. Here P is either a complete intersection or a Gorenstein ideal which is not a compete intersection.

  • PDF

THE ARTINIAN COMPLETE INTERSECTION QUOTIENT AND THE STRONG LEFSCHETZ PROPERTY

  • Shin, Yong-Su
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.32 no.2
    • /
    • pp.251-260
    • /
    • 2019
  • It has been little known when an Artinian (point) quotient has the strong Lefschetz property. In this paper, we find the Artinian complete intersection quotient having the SLP. More precisely, we prove that if ${\mathbb{X}}$ is a complete intersection in ${\mathbb{P}}^2$ of type (2, 2) and ${\mathbb{Y}}$ is a finite set of points in ${\mathbb{P}}^2$ such that ${\mathbb{X}}{\cup}{\mathbb{Y}}$ is a basic configuration of type (2, a) with $a{\geq}3$ or (3, a) with a = 3, 4, 5, 6, then $R/(I_{\mathbb{X}}+I_{\mathbb{Y}})$ has the SLP. We also show that if ${\mathbb{X}}$ is a complete intersection in ${\mathbb{P}}^2$ of type (3, 2) and ${\mathbb{Y}}$ is a finite set of points in ${\mathbb{P}}^2$ such that ${\mathbb{X}}{\cup}{\mathbb{Y}}$ is a basic configuration of type (3, 3) or (3, 4), then $R/(I_{\mathbb{X}}+I_{\mathbb{Y}})$ has the SLP.

MORPHISMS BETWEEN FANO MANIFOLDS GIVEN BY COMPLETE INTERSECTIONS

  • Choe, Insong
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.22 no.4
    • /
    • pp.689-697
    • /
    • 2009
  • We study the existence of surjective morphisms between Fano manifolds of Picard number 1, when the source is given by the intersection of a cubic hypersurface and either a quadric or another cubic hypersurface in a projective space.

  • PDF

A STRUCTURE THEOREM FOR A CLASS OF GORENSTEIN IDEALS OF GRADE FOUR

  • Cho, Yong S.
    • Honam Mathematical Journal
    • /
    • v.36 no.2
    • /
    • pp.387-398
    • /
    • 2014
  • In this paper, we give a structure theorem for a class of Gorenstein ideal of grade 4 which is the sum of an almost complete intersection of grade 3 and a Gorenstein ideal of grade 3 geometrically linked by a regular sequence. We also present the Hilbert function of a Gorenstein ideal of grade 4 induced by a Gorenstein matrix f.