arXiv subjects

Ludovica Buelli

Publications and source records attributed to Ludovica Buelli.

2 recordsLinked to original sources

arXiv2026

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds

We study moduli spaces of modular vector bundles on projective irreducible holomorphic symplectic manifolds of $K3^{[n]}$-type. Under suitable numerical assumptions, we exhibit connected components of these moduli spaces which are again irreducible holomorphic symplectic manifolds of $K3^{[n]}$-type. Moreover, the corresponding universal families induce derived equivalences with the original manifolds. This produces smooth components of moduli spaces of modular vector bundles on irreducible holomorphic symplectic manifolds of any even dimension.

math.AG↗

arXiv2025

Locally trivial monodromy of moduli spaces of sheaves on Abelian surfaces

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.

math.AG↗