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arXiv · 2203.07917

Hodge structure of O'Grady's singular moduli spaces

Valeria Bertini·Franco Giovenzana
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Abstract

We investigate the Hodge structure of the singular O'Grady's six and ten dimensional examples of irreducible symplectic varieties. In particular, we compute some of their Betti numbers and their Euler characteristic. As consequence, we deduce that these varieties do not have finite quotient singularities answering a question of Bakker and Lehn.

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Valeria Bertini, Franco Giovenzana. 2022-03-15. Hodge structure of O'Grady's singular moduli spaces. https://arxiv.org/abs/2203.07917

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