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arxiv: math/0406026 · v2 · submitted 2004-06-02 · 🧮 math.AG

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

classification 🧮 math.AG
keywords dimensionalgradyirreduciblesymplecticanalysebeauvillecharacteristiccompute
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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 analyse 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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