COHOMOLOGICALLY HYPERBOLIC ENDOMORPHISMS OF COMPLEX MANIFOLDS
2009 ◽
Vol 20
(07)
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pp. 803-816
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Keyword(s):
We show that if a compact Kähler manifold X admits a cohomologically hyperbolic surjective endomorphism then its Kodaira dimension is non-positive. This gives an affirmative answer to a conjecture of Guedj in the holomorphic case. The main part of the paper is to determine the geometric structure and the fundamental groups (up to finite index) for those X of dimension 3.
2012 ◽
Vol 22
(2)
◽
pp. 201-248
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2006 ◽
Vol 17
(01)
◽
pp. 35-43
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1995 ◽
Vol 10
(30)
◽
pp. 4325-4357
◽
1951 ◽
Vol 47
(3)
◽
pp. 504-517
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