On Compact Complex Manifolds with Finite Automorphism Group

Konrad Czaja

Bulletin of the Polish Academy of Sciences. Mathematics (2005)

  • Volume: 53, Issue: 1, page 1-5
  • ISSN: 0239-7269

Abstract

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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.

How to cite

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Konrad Czaja. "On Compact Complex Manifolds with Finite Automorphism Group." Bulletin of the Polish Academy of Sciences. Mathematics 53.1 (2005): 1-5. <http://eudml.org/doc/280881>.

@article{KonradCzaja2005,
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.},
author = {Konrad Czaja},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {compact complex manifolds; finite groups as automorphism groups; modest manifolds},
language = {eng},
number = {1},
pages = {1-5},
title = {On Compact Complex Manifolds with Finite Automorphism Group},
url = {http://eudml.org/doc/280881},
volume = {53},
year = {2005},
}

TY - JOUR
AU - Konrad Czaja
TI - On Compact Complex Manifolds with Finite Automorphism Group
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2005
VL - 53
IS - 1
SP - 1
EP - 5
AB - 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.
LA - eng
KW - compact complex manifolds; finite groups as automorphism groups; modest manifolds
UR - http://eudml.org/doc/280881
ER -

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