It is known that compact complex manifolds of general type and Kobayashi hyperbolic manifolds have finite automorphism groups. We give criteria for finiteness of the automorphism group of a compact complex manifold which allow us to produce large classes of compact complex manifolds with finite automorphism group but which are neither of general type nor Kobayashi hyperbolic.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba53-1-1,
author = {Konrad Czaja},
title = {On Compact Complex Manifolds with Finite Automorphism Group},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
volume = {53},
year = {2005},
pages = {1-5},
zbl = {1108.32010},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba53-1-1}
}
Konrad Czaja. On Compact Complex Manifolds with Finite Automorphism Group. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 53 (2005) pp. 1-5. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba53-1-1/