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 (7)

• Rozansky-Witten invariants of hyperkähler manifolds
• Finite groups of symplectic automorphisms of hyperkähler manifolds of type $K{3}^{[2]}$
• On deformations of Q-factorial symplectic varieties
• Towards a classification of symplectic automorphisms on manifolds of $K{3}^{[n]}$ type
• On the birational geometry for irreducible symplectic 4-folds related to the Fano schemes of lines
• On the log minimal model program for irreducible symplectic varieties
• Topological invariants of O'Grady's six dimensional irreducible symplectic variety

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