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arXiv · 2510.23193

Locally trivial monodromy of moduli spaces of sheaves on Abelian surfaces

Ludovica Buelli
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Abstract

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.

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Ludovica Buelli. 2025-10-27. Locally trivial monodromy of moduli spaces of sheaves on Abelian surfaces. https://arxiv.org/abs/2510.23193

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