Please use this identifier to cite or link to this item: https://doi.org/10.1142/S0129167X09005546
Title: Cohomologically hyperbolic endomorphisms of complex manifolds
Authors: Zhang, D.-Q. 
Keywords: Calabi-Yau
Dynamics
Endomorphism
Rationally connected variety
Issue Date: Jul-2009
Citation: Zhang, D.-Q. (2009-07). Cohomologically hyperbolic endomorphisms of complex manifolds. International Journal of Mathematics 20 (7) : 803-816. ScholarBank@NUS Repository. https://doi.org/10.1142/S0129167X09005546
Abstract: 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. © 2009 World Scientific Publishing Company.
Source Title: International Journal of Mathematics
URI: http://scholarbank.nus.edu.sg/handle/10635/102995
ISSN: 0129167X
DOI: 10.1142/S0129167X09005546
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