Fujiki relations and fibrations of irreducible symplectic varieties

Abstract

This paper concerns different types of singular complex projective varieties generalizing irreducible symplectic manifolds. We deduce from known results that the generalized Beauville-Bogomolov form satisfies the Fujiki relations and has the same rank as in the smooth case. This enables us to study fibrations of these varieties; imposing the newer definition from [GKP16, Definition 8.16.2] we show that they behave much like irreducible symplectic manifolds.

Published version

References in corpus (5)

• Base manifolds for fibrations of projective irreducible symplectic manifolds
• Klt varieties with trivial canonical class -- Holonomy, differential forms, and fundamental groups
• Irreducible symplectic complex spaces
• Isotrivial elliptic K3 surfaces and Lagrangian fibrations
• Low degree Hodge theory for klt varieties

Cited by in corpus (3)

• The global moduli theory of symplectic varieties
• Numerical characterization of complex torus quotients
• The second integral cohomology of moduli spaces of sheaves on K3 and Abelian surfaces