The Hodge diamond of O'Grady's 6-dimensional example

Abstract

We realize O'Grady's six dimensional example of irreducible holomorphic symplectic manifold as a quotient of an IHS manifold of K3${}^{[3]}$-type by a birational involution, thereby computing its Hodge numbers.

References in corpus (9)

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• Finite groups of symplectic automorphisms of hyperkähler manifolds of type $K{3}^{[2]}$
• On deformations of Q-factorial symplectic varieties
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Cited by in corpus (7)

• The LLV decomposition of hyper-Kaehler cohomology
• On the motive of O'Grady's ten-dimensional hyper-Kähler varieties
• Induced birational transformations on O'Grady's sixfolds
• Positivity of Riemann-Roch polynomials and Todd classes of hyperkähler manifolds
• Sixfolds of generalized Kummer type and K3 surfaces
• Supersingular O'Grady varieties of dimension six
• On the motive of O'Grady's six dimensional hyper-Kähler varieties