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arXiv · 1310.5314

Beauville-Bogomolov lattice for a singular symplectic variety of dimension 4

Grégoire Menet
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Abstract

The Beauville-Bogomolov lattice is computed for a simplest singular symplectic manifold of dimension 4, obtained as a partial desingularization of the quotient $S^{[2]}/ι$, where $S^{[2]}$ is the Hilbert square of a K3 surface $S$ and $ι$ is a symplectic involution on it. This result applies, in particular, to the singular symplectic manifolds of dimension 4, constructed by Markushevich-Tikhomirov as compactifications of families of Prym varieties of a linear system of curves on a K3 surface with an anti-symplectic involution.

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Grégoire Menet. 2014-06-04. Beauville-Bogomolov lattice for a singular symplectic variety of dimension 4. https://arxiv.org/abs/1310.5314

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