scholarly journals Mixed Lefschetz Theorems and Hodge-Riemann Bilinear Relations

2010 ◽  
Author(s):  
E. Cattani
Keyword(s):  
Bilinear Relations ◽  
Lefschetz Theorems

Bilinear Relations

1992 ◽  
pp. 77-83
Author(s):  
Raghavan Narasimhan
Keyword(s):  
Bilinear Relations

scholarly journals Morse inequalities for covering manifolds

2001 ◽  
Vol 163 ◽  
pp. 145-165 ◽  
Author(s):  
Radu Todor ◽  
Ionuţ Chiose ◽  
George Marinescu
Keyword(s):  
Line Bundles ◽  
Invariant Line ◽  
Complex Structures ◽  
Von Neumann ◽  
Holomorphic Sections ◽  
Galois Coverings ◽  
Von Neumann Dimension ◽  
The Stability ◽  
Bounded Below ◽  
Lefschetz Theorems

We study the existence of L2 holomorphic sections of invariant line bundles over Galois coverings. We show that the von Neumann dimension of the space of L2 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.

Lefschetz theorems for torsion algebraic cycles in codimension 2

2017 ◽  
Vol 316 ◽  
pp. 554-575
Author(s):  
Deepam Patel ◽  
G.V. Ravindra
Keyword(s):  
Algebraic Cycles ◽  
Lefschetz Theorems
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