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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.20094 |
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| _version_ | 1866913957734776832 |
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| author | Martinelli, Luigi |
| author_facet | Martinelli, Luigi |
| contents | For any $n \ge 3$, we consider the moduli space $M_n$ of semistable sheaves with Mukai vector $2(1,0,1-n)$ on a K3 surface. The moduli space $M_n$ is singular and lacks a crepant resolution, but might still admit a categorical crepant one. As a preliminary to exploring this possibility, we study the explicit resolution of singularities of $M_n$ constructed by O'Grady, and provide a global description of its exceptional locus. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_20094 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Higher-dimensional O'Grady's resolutions and their exceptional locus Martinelli, Luigi Algebraic Geometry 14D20, 14J60, 14J28 For any $n \ge 3$, we consider the moduli space $M_n$ of semistable sheaves with Mukai vector $2(1,0,1-n)$ on a K3 surface. The moduli space $M_n$ is singular and lacks a crepant resolution, but might still admit a categorical crepant one. As a preliminary to exploring this possibility, we study the explicit resolution of singularities of $M_n$ constructed by O'Grady, and provide a global description of its exceptional locus. |
| title | Higher-dimensional O'Grady's resolutions and their exceptional locus |
| topic | Algebraic Geometry 14D20, 14J60, 14J28 |
| url | https://arxiv.org/abs/2502.20094 |