Bimeromorphic automorphism groups of non-projective hyperk\"ahler manifolds - a note inspired by C. T. McMullen
Algebraic Geometry
2007-05-23 v2
Abstract
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.
Keywords
Cite
@article{arxiv.math/0312515,
title = {Bimeromorphic automorphism groups of non-projective hyperk\"ahler manifolds - a note inspired by C. T. McMullen},
author = {Keiji Oguiso},
journal= {arXiv preprint arXiv:math/0312515},
year = {2007}
}
Comments
26 pages, title is changed, Theorem 1.5 is much generalized (to any non-projective case and bimeromorphic automorphisms)