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.
On the Beauville form of the known irreducible symplectic varieties / A. Rapagnetta. - In: MATHEMATISCHE ANNALEN. - ISSN 0025-5831. - 340:1(2008), pp. 77-95.
On the Beauville form of the known irreducible symplectic varieties
A. RapagnettaPrimo
2008
Abstract
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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