Rational cuspidal curves on del-Pezzo surfaces
We obtain an explicit formula for the number of rational cuspidal curves of a given degree on a del-Pezzo surface that pass through an appropriate number of generic points of the surface. This enumerative problem is expressed as an Euler class computation on the moduli space of curves. A topological...
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Veröffentlicht in: | arXiv.org 2015-09 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | We obtain an explicit formula for the number of rational cuspidal curves of a given degree on a del-Pezzo surface that pass through an appropriate number of generic points of the surface. This enumerative problem is expressed as an Euler class computation on the moduli space of curves. A topological method is employed in computing the contribution of the degenerate locus to this Euler class. |
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ISSN: | 2331-8422 |