Monodromy and birational geometry of O'Grady's sixfolds

By Giovanni Mongardi, A. Rapagnetta. 2019

53 citations recorded by the source corpus.

We prove that the bimeromorphic class of an \hk manifolds deformation equivalent to O'Grady's six dimensional is determined by the Hodge structure of its Beauville-Bogomolov lattice by showing that the monodromy group is maximal. As applications, we give the structure for the kahler and the birational Kahler cones in this deformation class and we prove that the existence of a square zero divisor implies the existence a rational lagrangian fibration with fixed fibre types.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/8c75e65c399bc25636724b3e4df8e31e42c6570c