On birational transformations of Hilbert schemes of points on K3 surfaces
| Autor: | Beri, Pietro, Cattaneo, Alberto |
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| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | June 2022 Mathematische Zeitschrift 301(1):1-18 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s00209-021-02960-y |
| Popis: | We classify the group of birational automorphisms of Hilbert schemes of points on algebraic K3 surfaces of Picard rank one. We study whether these automorphisms are symplectic or non-symplectic and if there exists a hyperk\"ahler birational model on which they become biregular. We also present new geometrical constructions of these automorphisms. Comment: 18 pages. Exposition improved, review of the theory of Pell's equation moved to appendix. Remark 3.7 added, some minor results removed |
| Databáze: | arXiv |
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