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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.06839 |
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Table of 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.