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|Title:||Cohomologically hyperbolic endomorphisms of complex manifolds|
Rationally connected variety
|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|
|Appears in Collections:||Staff Publications|
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