Bimeromorphic automorphism groups of non-projective hyperkähler manifolds - a note inspired by C. T. McMullen

Details Bimeromorphic automorphism groups of non-projective hyperkähler manifolds - a note inspired by C. T. McMullen Bimeromorphic automorphism groups of non-projective hyperkähler manifolds - a note inspired by C. T. McMullen

2003-12-31

arxiv.org/abs/math/0312515v2

Mathematics

Algebraic Geometry

26 pages, title is changed, Theorem 1.5 is much generalized (to any non-projective case and bimeromorphic automorphisms)

Scientific paper

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 hyperk\"ahler manifold, up to finite group factor. We also discuss relevant topics, especially, new counterexamples of Kodaira's problem about algebraic approximation of a compact K\"ahler manifold.

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