A GORENSTEIN IDEAL OF CODIMENSION 4

  • Shin, Yong-Su (Department of Mathematics Sung Shin Womens University )
  • Published : 1997.02.01

Abstract

Let k be an infinite field and let $X = {P_1, \cdots, P_s}$ be a set of s-distinct points in $P^n$. We denote by $I(X)$ the defining ideal of $X$ in the polynomial ring $R = k[x_0, \cdots, x_n]$ and by A the homogeneous coordinate ring of $X, A = \sum_{t = 0}^{\infty} A_t$.

Keywords

References

  1. Macaulay: A system for computation in algebraic geometry and commutative algebra, Source and object code available for Unix and Macintosh computers D. Bayer;M. Stillman
  2. J. of London Math. Soc. v.28 The Hilbert function of a reduced K-algebra A. V. Geramita;P. Maroscia;L. Roberts
  3. The Curves Seminar at Queen's v.X102 The Smooth Points in g or (T), Queen's in Pure and Applied Math A. V. Geramita;M. Pucci;Y.S. Shin
  4. J. of Pure and Applied Algebra v.103 Some Examples of unimodal Gorenstein sequences T. Harima
  5. Invent. Math. v.26 Liasion des Varietes Algebriques I C. Peskine et L. Szpiro
  6. J. Pure Appl. Algebra v.56 On Hilbert functions of reduced and of integral algebra L. Robert;M. Roitman
  7. The Curves Seminar at Queen's v.X no.102 K-configuration in P³, Queen's Papers in Pure and Applied Mathematics Y. S. Shin