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2001 Morse inequalities for covering manifolds
Radu Todor, Ionuţ Chiose, George Marinescu
Nagoya Math. J. 163: 145-165 (2001).


We study the existence of $L^2$ holomorphic sections of invariant line bundles over Galois coverings. We show that the von Neumann dimension of the space of $L^2$ holomorphic sections is bounded below under weak curvature conditions. We also give criteria for a compact complex space with isolated singularities and some related strongly pseudoconcave manifolds to be Moishezon. As applications we prove the stability of the previous Moishezon pseudoconcave manifolds under perturbation of complex structures as well as weak Lefschetz theorems.


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Radu Todor. Ionuţ Chiose. George Marinescu. "Morse inequalities for covering manifolds." Nagoya Math. J. 163 145 - 165, 2001.


Published: 2001
First available in Project Euclid: 27 April 2005

zbMATH: 1018.32022
MathSciNet: MR1855193

Primary: 32L10
Secondary: 32F10 , 32Q55 , 58J37

Rights: Copyright © 2001 Editorial Board, Nagoya Mathematical Journal

Vol.163 • 2001
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