Advertisement

Multiple-point formulas and line complexes

  • Susan Jane Colley
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1311)

Keywords

Chern Class Line Complex Hilbert Scheme Ideal Sheaf Flag Variety 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  1. [C1]
    S. J. Colley, "Lines haing specified contact with projective varieties," Proc. of the 1984 Vancouver Conf. in Algebraic Geometry, J. Carrell, A.V. Geramita, P. Russell, eds., pp. 47–70, CMS-AMS Conf. Proc. Vol. 6, Amer. Math. Soc., Providence, 1986.Google Scholar
  2. [C2]
    _____, "Enumerating stationary multiple-points," to appear in Advances in Mathematics.Google Scholar
  3. [C3]
    _____, "Coincidence formulas for line complexes," in preparation.Google Scholar
  4. [E]
    C. Ehresmann, "Sur la topologie de certains espaces homogènes," Ann. of Math. (2) 35 (1934), 396–443.MathSciNetCrossRefzbMATHGoogle Scholar
  5. [F-L]
    W. Fulton and D. Laksov, "Residual intersections and the double point formula," Real and Complex Singularities: Oslo, 1976, P. Holm, ed., pp. 171–177, Sijthoff & Noordhoff, Alphen aan den Rijn, 1977.CrossRefGoogle Scholar
  6. [Ka]
    S. Katz, "Iteration of multiple point formulas and applications to conics," these proceedings.Google Scholar
  7. [K1]
    S. L. Kleiman, "The Enumerative theory of singularities," Real and Complex Singularities: Oslo, 1976, P. Holm ed., pp. 297–396, Sijthoff & Noordhoff, Alphen aan den Rijn, 1977.CrossRefGoogle Scholar
  8. [K2]
    _____, "Multiple-point formulas I: iteration" Acta Math. 147 (1981), 13–49.MathSciNetCrossRefzbMATHGoogle Scholar
  9. [K3]
    _____, "Multiple-point formulas for maps," Enumerative Geometry and Classical Algebraic Geometry, P. Le Barz and Y. Hervier, eds., pp. 237–252, Birkhäuser, Boston, 1982.CrossRefGoogle Scholar
  10. [K4]
    _____, "Plane forms and multiple-point formulas," Lect. Notes in Math. 947, pp. 287–310, Springer, Berlin, 1982.zbMATHGoogle Scholar
  11. [K5]
    _____, "Open problems," lecture at this conference, August 14, 1986.Google Scholar
  12. [L]
    D. Laksov, "Residual intersections and Todd's formula for the double locus of a morphism," Acta Math. 140 (1978), 75–92.MathSciNetCrossRefzbMATHGoogle Scholar
  13. [LB1]
    P. Le Barz, "Géométrie énumérative pour les multisécantes," Lect. Notes in Math. 683, pp. 116–167, Springer, Berlin 1978.zbMATHGoogle Scholar
  14. [LB2]
    _____, "Formulas multisécantes pour les courbes gauches quelconques," Enumerative Geometry and Classical Algebraic Geometry, P. Le Barz and Y. Hervier, eds., pp. 165–197, Birkhäuser, Boston, 1982.CrossRefGoogle Scholar
  15. [LB3]
    _____, "Contribution des droites d'une surface à ses multisécantes," Bull. Soc. Math. France 112 (1984), 303–324.MathSciNetzbMATHGoogle Scholar
  16. [Ra]
    Z. Ran, "Curvilinear enumerative geometry," Acta Math. 155 (1985), no. 1–2, 81–101.MathSciNetCrossRefzbMATHGoogle Scholar
  17. [Ro]
    J. Roberts, "Some properties of double point schemes," Comp. Math. 41 (1980), 61–94.MathSciNetzbMATHGoogle Scholar
  18. [Sch]
    H. C. H. Schubert, Kalkül der abzählenden Geometrie, Teubner, Leipzig, 1879, reprinted by Springer, Berlin, 1979.zbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1988

Authors and Affiliations

  • Susan Jane Colley
    • 1
  1. 1.Department of MathematicsOberlin CollegeOberlinUSA

Personalised recommendations