On Compact Complex Manifolds with Finite Automorphism Group
Volume 53 / 2005
Bulletin Polish Acad. Sci. Math. 53 (2005), 1-5
MSC: Primary 32M99.
DOI: 10.4064/ba53-1-1
Abstract
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.
