Hyper-Kähler varieties: Lagrangian fibrations, atomic sheaves, and categories
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866917388246581248 |
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| author | Bottini, Alessio Macrì, Emanuele Stellari, Paolo |
| author_facet | Bottini, Alessio Macrì, Emanuele Stellari, Paolo |
| contents | We review recent developments in the theory of compact hyper-Kähler varieties, from the viewpoint of Lagrangian fibrations, moduli spaces of stable sheaves, and derived categories. These notes originated from the lecture by the second named author at the 2025 Summer Institute in Algebraic Geometry, Colorado State University, Fort Collins (USA), July 14 - August 1, 2025. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_23033 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Hyper-Kähler varieties: Lagrangian fibrations, atomic sheaves, and categories Bottini, Alessio Macrì, Emanuele Stellari, Paolo Algebraic Geometry 14D06, 14D20, 14F08, 14J42, 14J60, 18G80 We review recent developments in the theory of compact hyper-Kähler varieties, from the viewpoint of Lagrangian fibrations, moduli spaces of stable sheaves, and derived categories. These notes originated from the lecture by the second named author at the 2025 Summer Institute in Algebraic Geometry, Colorado State University, Fort Collins (USA), July 14 - August 1, 2025. |
| title | Hyper-Kähler varieties: Lagrangian fibrations, atomic sheaves, and categories |
| topic | Algebraic Geometry 14D06, 14D20, 14F08, 14J42, 14J60, 18G80 |
| url | https://arxiv.org/abs/2603.23033 |