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Cohomologically hyperbolic endomorphisms of complex manifolds

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Type
Preprint
Publication Date
Submission Date
Identifiers
arXiv ID: 0805.4140
Source
arXiv
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Abstract

We show that if a compact Kahler 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.

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