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arXiv · 2506.22031

Inducing coverings on Hilbert schemes

Lucas Li Bassi·Filippo Papallo
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Abstract

We find an explicit geometric description of all coverings of the Hilbert square on a normal, complex, quasi-projective surface with finite fundamental group. We then apply this construction to show that if $\Sigma$ is an irreducible symplectic surface then its Hilbert square is an irreducible symplectic variety.

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Lucas Li Bassi, Filippo Papallo. 2025-06-27. Inducing coverings on Hilbert schemes. https://arxiv.org/abs/2506.22031

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