Bimeromorphic automorphism groups of non-projective hyperkähler manifolds - a note inspired by C. T. McMullen
Abstract
Description
Being inspired by a work of Curtis T. McMullen about a very impressive automorphism of a K3 surface of Picard number zero, we shall clarify the structure of the bimeromorphic automorphism group of a non-projective hyperkähler manifold, up to finite group factor. We also discuss relevant topics, especially, new counterexamples of Kodaira's problem about algebraic approximation of a compact Kähler manifold.
26 pages, title is changed, Theorem 1.5 is much generalized (to any non-projective case and bimeromorphic automorphisms)
26 pages, title is changed, Theorem 1.5 is much generalized (to any non-projective case and bimeromorphic automorphisms)