Node polynomials for curves on surfaces
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | |
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| _version_ | 1866915539016744960 |
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| author | Dedieu, Thomas |
| author_facet | Dedieu, Thomas |
| contents | This text is a presentation of a set of formulae, first found by Vainsencher (for $δ\leq 6$) and shortly after improved by Kleiman and Piene, counting $δ$-nodal curves in a complete linear system on a smooth surface, if $δ\leq 8$ and the corresponding line bundle is sufficiently positive. We also discuss a complement by Qviller, and related results due to Kazarian, Ohmoto, and others. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_06839 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Node polynomials for curves on surfaces Dedieu, Thomas Algebraic Geometry This text is a presentation of a set of formulae, first found by Vainsencher (for $δ\leq 6$) and shortly after improved by Kleiman and Piene, counting $δ$-nodal curves in a complete linear system on a smooth surface, if $δ\leq 8$ and the corresponding line bundle is sufficiently positive. We also discuss a complement by Qviller, and related results due to Kazarian, Ohmoto, and others. |
| title | Node polynomials for curves on surfaces |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2510.06839 |