Restrictions of linear series to hyperplanes, and some results of Macaulay and Gotzmann

  • Mark Green
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1389)


Exact Sequence Hilbert Scheme Monomial Ideal Ideal Sheaf Homogeneous Ideal 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [B]
    D.Bayer, “The division algorithm and the Hilbert scheme,” Thesis, Harvard University.Google Scholar
  2. [B-M]
    E.Bierstone and P.Milman, “The local geometry of analytic mappings,” preprint.Google Scholar
  3. [Go]
    G. Gotzmann, “Eine Bedingung für die Flachheit und das Hilbertpolynom eines graduierten Ringes,” Math. Z. 158 (1978), 61–70.MathSciNetCrossRefzbMATHGoogle Scholar
  4. [G1]
    M.Green, “Components of maximal dimension in the Noether-Lefschetz locus,” J. Diff. Geom., to appear.Google Scholar
  5. [G2]
    M.Green, “Koszul cohomology and geometry,” preprint.Google Scholar
  6. [I]
    A. Iarrobino, “Hilbert schemes of points: Overview of last ten years,” Algebraic Geometry, Bowdoin 1985, Proc. Symp. in Pure Math. vol 46, 297–320.MathSciNetCrossRefGoogle Scholar
  7. [M]
    F.S. Macaulay, “Some properties of enumeration in the theory of modular systems,” Proc. Lond. Math. Soc. 26 (1927), 531–555.MathSciNetCrossRefzbMATHGoogle Scholar
  8. [S]
    R. Stanley, “Hilbert functions of graded algebras,” Adv. in Math. 28 (1978), 57–83.MathSciNetCrossRefzbMATHGoogle Scholar
  9. [T]
    B. Teissier, “Variétès toriques et polytopes,” Séminaire Bourbaki 565 (1980–1), 71–82.MathSciNetzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • Mark Green
    • 1
  1. 1.University of CaliforniaLos Angeles

Personalised recommendations