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On the Beauville form of the known irreducible symplectic varieties

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We study the global geometry of O’Grady’s ten-dimensional irreducible symplectic variety. We determine its second Betti number, its Beauville form and its Fujiki constant.

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  1. Department of Mathematical Sciences, University of Liverpool, Liverpool, UK

    Antonio Rapagnetta

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  1. Antonio Rapagnetta
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Correspondence to Antonio Rapagnetta.

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Rapagnetta, A. On the Beauville form of the known irreducible symplectic varieties. Math. Ann. 340, 77–95 (2008). https://doi.org/10.1007/s00208-007-0139-6

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  • DOI: https://doi.org/10.1007/s00208-007-0139-6

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