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The enumerative geometry of Del Pezzo Surfaces via degenerations
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 128, Number 3, June 2006
- pp. 751-786
- 10.1353/ajm.2006.0020
- Article
- Additional Information
This paper investigates low-codimension degenerations of Del Pezzo surfaces. As an application we determine certain characteristic numbers of Del Pezzo surfaces. Finally, we analyze the relation between the enumerative geometry of Del Pezzo surfaces and the Gromov-Witten invariants of the Hilbert scheme of conics in PN.