Jordan property for groups of bimeromorphic self-maps of complex manifolds with large Kodaira dimension

We prove that the image of the pluricanonical representation of a group of bimeromorphic automorphisms of a complex manifold has bounded finite subgroups. As a consequence, we show that the group of bimeromorphic automorphisms of an n-dimensional complex manifold whose Kodaira dimension is at least \(n-2\) $n-2$ , satisfies the Jordan property.