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The characteristic numbers of smooth plane cubics

  • Paolo Aluffi
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1311)

Abstract

The characteristic numbers for the family of smooth plane cubics are computed, verifying results of Maillard and Zeuthen

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References

  1. [A]
    Aluffi, P., Thesis, Brown University (1987).Google Scholar
  2. [F]
    Fulton, W., “Intersection Theory,” Springer Verlag, 1984.Google Scholar
  3. [M]
    Maillard, M.S., Recherche des caractéristiques des systèmes élémentaires de courbes planes du troisième ordre, Thèses présentées á La Faculté des Sciences de Paris 39 (1871).Google Scholar
  4. [S]
    Schubert, H.C.H., “Kalkül der abzählenden Geometrie (1879),” reprinted with an introduction by S. L. Kleiman, Springer Verlag, 1979.Google Scholar
  5. [St]
    Sterz, U., Berühungsvervollständigung für ebene Kurven dritter Ordnung I, Beiträge zur Algebra und Geometrie 16 (1983), 45–68; II, 17 (1984), 115–150; III, 20 (1985), 161–184.MathSciNetzbMATHGoogle Scholar
  6. [Z1]
    Zeuthen, H.G., Détermination des caractéristiques des systèmes élémentaires de cubiques, Comptes Rendus Des Séances De l'Académie Des Sciences 74 (1872), 521–526, 604–607, 726–729.zbMATHGoogle Scholar
  7. [Z2]
    Zeuthen, H.G., Almindelige Egenskaber ved Systemer af plane Kurver, Kongelige Danske Videnskabernes Selskabs Skrifter — Naturvidenskabelig og Mathematisk 10 (1873), 287–393.Google Scholar

Copyright information

© Springer-Verlag 1988

Authors and Affiliations

  • Paolo Aluffi
    • 1
  1. 1.Brown UniversityUSA

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