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The characteristic numbers of smooth plane cubics

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Algebraic Geometry Sundance 1986

Part of the book series: Lecture Notes in Mathematics ((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. Aluffi, P., Thesis, Brown University (1987).

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

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  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).

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

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  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.

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  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.

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

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© 1988 Springer-Verlag

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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

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

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19236-7

  • Online ISBN: 978-3-540-39157-9

  • eBook Packages: Springer Book Archive

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