The enumerative geometry of plane cubics. I. Smooth cubics
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- by Paolo Aluffi PDF
- Trans. Amer. Math. Soc. 317 (1990), 501-539 Request permission
Abstract:
We construct a variety of complete plane cubics by a sequence of five blow-ups over ${\mathbb {P}^9}$. 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.References
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Additional Information
- © Copyright 1990 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 317 (1990), 501-539
- MSC: Primary 14N10; Secondary 14C17
- DOI: https://doi.org/10.1090/S0002-9947-1990-0972700-4
- MathSciNet review: 972700