Rational cuspidal curves on del-Pezzo surfaces
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2015
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| Acceso en línea: | |
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| _version_ | 1866916621671464960 |
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| author | Biswas, Indranil D'Mello, Shane Mukherjee, Ritwik Pingali, Vamsi |
| author_facet | Biswas, Indranil D'Mello, Shane Mukherjee, Ritwik Pingali, Vamsi |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1509_06300 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | Rational cuspidal curves on del-Pezzo surfaces Biswas, Indranil D'Mello, Shane Mukherjee, Ritwik Pingali, Vamsi Algebraic Geometry Symplectic Geometry 14N35, 14J45 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. |
| title | Rational cuspidal curves on del-Pezzo surfaces |
| topic | Algebraic Geometry Symplectic Geometry 14N35, 14J45 |
| url | https://arxiv.org/abs/1509.06300 |