Nef cones of Hilbert schemes of points on some K3 surfaces
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866917155946102784 |
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| author | Dutta, Uttaran Edwards, Sean Raha, Neelarnab |
| author_facet | Dutta, Uttaran Edwards, Sean Raha, Neelarnab |
| contents | We illustrate the typical usage of Bayer and Macrì's Positivity Lemma to compute the nef cones of the Hilbert schemes $X^{[n]}$ by combining the Bridgeland stability methods (for large $n$) and classical methods (for small $n$). We use Mori dream K3 surfaces $X$ of Picard rank $2$ as our working example. We also compute the nef cones of the nested Hilbert schemes $X^{[n,n+1]}$ for such $X$, for large $n$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_10724 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nef cones of Hilbert schemes of points on some K3 surfaces Dutta, Uttaran Edwards, Sean Raha, Neelarnab Algebraic Geometry Primary: 14C05, 14J28. Secondary: 14E30 We illustrate the typical usage of Bayer and Macrì's Positivity Lemma to compute the nef cones of the Hilbert schemes $X^{[n]}$ by combining the Bridgeland stability methods (for large $n$) and classical methods (for small $n$). We use Mori dream K3 surfaces $X$ of Picard rank $2$ as our working example. We also compute the nef cones of the nested Hilbert schemes $X^{[n,n+1]}$ for such $X$, for large $n$. |
| title | Nef cones of Hilbert schemes of points on some K3 surfaces |
| topic | Algebraic Geometry Primary: 14C05, 14J28. Secondary: 14E30 |
| url | https://arxiv.org/abs/2509.10724 |