Extremal divisors in the Hilbert scheme of points on $\mathbb{P}^{2}$ are preserved under residuality
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866917083863842816 |
|---|---|
| author | Vite, Montserrat |
| author_facet | Vite, Montserrat |
| contents | Let $n=\frac{r(r+1)}{2}$ or $n=r(r+1)$. We prove that the property of being extremal is preserved under residuality on the Hilbert scheme of $n$ points in the plane. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_12424 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Extremal divisors in the Hilbert scheme of points on $\mathbb{P}^{2}$ are preserved under residuality Vite, Montserrat Algebraic Geometry Let $n=\frac{r(r+1)}{2}$ or $n=r(r+1)$. We prove that the property of being extremal is preserved under residuality on the Hilbert scheme of $n$ points in the plane. |
| title | Extremal divisors in the Hilbert scheme of points on $\mathbb{P}^{2}$ are preserved under residuality |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2511.12424 |