A Strong Global Torelli theorem for OG6 type varieties

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.