Locally trivial monodromy of moduli spaces of sheaves on Abelian surfaces
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866912692785119232 |
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| author | Buelli, Ludovica |
| author_facet | Buelli, Ludovica |
| contents | The aim of this work is to give a description of the locally trivial monodromy group of irreducible symplectic varieties arising from moduli spaces of semistable sheaves on Abelian surfaces with non-primitive Mukai vector. The outcome is that the locally trivial monodromy group of a singular moduli space of this type is isomorphic to the monodromy group of a smooth moduli space, extending Markman's and Mongardi's description to the non-primitive case. As a consequence, we also prove the SYZ conjecture for any singular moduli space of this type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_23193 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Locally trivial monodromy of moduli spaces of sheaves on Abelian surfaces Buelli, Ludovica Algebraic Geometry 14D05, 14D20, 14J42, 14J60 The aim of this work is to give a description of the locally trivial monodromy group of irreducible symplectic varieties arising from moduli spaces of semistable sheaves on Abelian surfaces with non-primitive Mukai vector. The outcome is that the locally trivial monodromy group of a singular moduli space of this type is isomorphic to the monodromy group of a smooth moduli space, extending Markman's and Mongardi's description to the non-primitive case. As a consequence, we also prove the SYZ conjecture for any singular moduli space of this type. |
| title | Locally trivial monodromy of moduli spaces of sheaves on Abelian surfaces |
| topic | Algebraic Geometry 14D05, 14D20, 14J42, 14J60 |
| url | https://arxiv.org/abs/2510.23193 |