Skip to main content

The characteristic numbers of smooth plane cubics

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

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Aluffi, P., Thesis, Brown University (1987).

    Google Scholar 

  2. Fulton, W., “Intersection Theory,” Springer Verlag, 1984.

    Google Scholar 

  3. 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. Schubert, H.C.H., “Kalkül der abzählenden Geometrie (1879),” reprinted with an introduction by S. L. Kleiman, Springer Verlag, 1979.

    Google Scholar 

  5. 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.

    MathSciNet  MATH  Google Scholar 

  6. 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.

    MATH  Google Scholar 

  7. Zeuthen, H.G., Almindelige Egenskaber ved Systemer af plane Kurver, Kongelige Danske Videnskabernes Selskabs Skrifter — Naturvidenskabelig og Mathematisk 10 (1873), 287–393.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and Permissions

Copyright information

© 1988 Springer-Verlag

About this paper

Cite this paper

Aluffi, P. (1988). The characteristic numbers of smooth plane cubics. In: Algebraic Geometry Sundance 1986. Lecture Notes in Mathematics, vol 1311. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082905

Download citation

  • DOI: https://doi.org/10.1007/BFb0082905

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19236-7

  • Online ISBN: 978-3-540-39157-9

  • eBook Packages: Springer Book Archive