The enumerative geometry of plane cubics. I. Smooth cubics-Reference-Cited by-同舟云学术

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The enumerative geometry of plane cubics. I. Smooth cubics

Published:1990 Issue:2 Volume:317 Page:501-539
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Aluffi Paolo

Abstract

We construct a variety of complete plane cubics by a sequence of five blow-ups over P 9 {\mathbb {P}^9} . This enables us to translate the problem of computing characteristic numbers for a family of plane cubics into one of computing five Segre classes, and to recover classic enumerative results of Zeuthen and Maillard.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1990-317-02/S0002-9947-1990-0972700-4/S0002-9947-1990-0972700-4.pdf

Reference11 articles.

1. The characteristic numbers of smooth plane cubics;Aluffi, Paolo,1988

2. Lecture Notes in Mathematics;Casas-Alvero, Eduardo,1986

3. Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)];Fulton, William,1984

4. Enumerative geometry of cuspidal plane cubics;Kleiman, Steven L.,1986

5. S. Maillard, 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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