A Strong Global Torelli theorem for OG6 type varieties

Source abstract

We prove that a hyperkähler manifold of OG6 type is determined, up to isomorphism, by its integral second cohomology endowed with its Hodge structure and Beauville--Bogomolov--Fujiki form. The proof combines the monodromy and chamber theorems of Mongardi--Rapagnetta with the bimeromorphic Torelli theorem. In particular, bimeromorphic OG6 manifolds are biholomorphic.