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Topological invariants of O’Grady’s six dimensional irreducible symplectic variety

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We study O’Grady examples of irreducible symplectic varieties: we establish that both of them can be deformed into lagrangian fibrations. We analyze in detail the topology of the six dimensional example: in particular we compute its Euler characteristic and determine its Beauville form.

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  1. Dipartimento di Matematica, Università di Roma Tor Vergata, Via della Ricerca Scientifica, 00133, Rome, Italy

    Antonio Rapagnetta

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  1. Antonio Rapagnetta
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Correspondence to Antonio Rapagnetta.

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Rapagnetta, A. Topological invariants of O’Grady’s six dimensional irreducible symplectic variety. Math. Z. 256, 1–34 (2007). https://doi.org/10.1007/s00209-006-0022-2

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  • DOI: https://doi.org/10.1007/s00209-006-0022-2

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