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On compact complex manifolds with finite automorphism group

Czaja K.

Bulletin of the Polish Academy of Sciences. Mathematics

2005

Vol. 53, no 1

1-5

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.