Pseudo-automorphisms of rational threefolds and Kummer surfaces
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909073908170752 |
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| author | He, Zhuang |
| author_facet | He, Zhuang |
| contents | Kummer surfaces are special quartic surfaces that admit $16$ nodes. The automorphisms of K3 Kummer surfaces are rich and complicated. Based on the results of Keum and Kondō, and as a continuation of the recent result by He and Yang, we lift $45$ classically known automorphisms of Kummer surfaces to pseudo-automorphisms of a threefold, the blow-up of $\mathbb{P}^3$ along $6$ points and $15$ lines. We give a description of a fundamental domain of the group generated by all the known pseudo-automorphisms on this threefold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_07948 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Pseudo-automorphisms of rational threefolds and Kummer surfaces He, Zhuang Algebraic Geometry 14E07 (Primary) 14J28 (Secondary) Kummer surfaces are special quartic surfaces that admit $16$ nodes. The automorphisms of K3 Kummer surfaces are rich and complicated. Based on the results of Keum and Kondō, and as a continuation of the recent result by He and Yang, we lift $45$ classically known automorphisms of Kummer surfaces to pseudo-automorphisms of a threefold, the blow-up of $\mathbb{P}^3$ along $6$ points and $15$ lines. We give a description of a fundamental domain of the group generated by all the known pseudo-automorphisms on this threefold. |
| title | Pseudo-automorphisms of rational threefolds and Kummer surfaces |
| topic | Algebraic Geometry 14E07 (Primary) 14J28 (Secondary) |
| url | https://arxiv.org/abs/2401.07948 |