Derived-natural automorphisms on Hilbert schemes of points on generic K3 surfaces
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917529381765120 |
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| author | Liu, Ziqi |
| author_facet | Liu, Ziqi |
| contents | The article revisits birational and biregular automorphisms of the Hilbert scheme of points on a K3 surface from the perspective of derived categories. Under the assumption that the K3 surface is generic, the birational and biregular involutions induced by autoequivalences on the derived category of the underlying K3 surface are characterized. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_08854 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Derived-natural automorphisms on Hilbert schemes of points on generic K3 surfaces Liu, Ziqi Algebraic Geometry 14J28 14J50 11H56 The article revisits birational and biregular automorphisms of the Hilbert scheme of points on a K3 surface from the perspective of derived categories. Under the assumption that the K3 surface is generic, the birational and biregular involutions induced by autoequivalences on the derived category of the underlying K3 surface are characterized. |
| title | Derived-natural automorphisms on Hilbert schemes of points on generic K3 surfaces |
| topic | Algebraic Geometry 14J28 14J50 11H56 |
| url | https://arxiv.org/abs/2501.08854 |