A characterization of compact complex tori via automorphism groups
Fu, B. Zhang, D.-Q.
Fu, B.
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Abstract
We show that a compact Kähler manifold X is a complex torus if both the continuous part and discrete part of some automorphism group G of X are infinite groups, unless X is bimeromorphic to a non-trivial G-equivariant fibration. Some applications to dynamics are given. © 2013 Springer-Verlag Berlin Heidelberg.
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Mathematische Annalen
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Date
2013-11
DOI
10.1007/s00208-013-0927-0
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Article