Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.06839 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915539016744960 |
|---|---|
| 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 |