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.
Topological invarianta of O'Grady's six dimensional irreducible symplectic variety / A. Rapagnetta. - In: MATHEMATISCHE ZEITSCHRIFT. - ISSN 0025-5874. - 256:1(2007), pp. 1-34.
Topological invarianta of O'Grady's six dimensional irreducible symplectic variety
A. RapagnettaPrimo
2007
Abstract
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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