scholarly journals Adjunction for the Grauert-Riemenschneider canonical sheaf and extension of L2-cohomology classes

2015 ◽  
Vol 64 (2) ◽  
pp. 533-558
Author(s):  
Jean Ruppenthal ◽  
Hakan Samuelsson Kalm ◽  
Elizabeth Wulcan
Keyword(s):  
Canonical Sheaf ◽  
L2 Cohomology

scholarly journals L2 -cohomology of manifolds with flat ends

2003 ◽  
Vol 13 (2) ◽  
pp. 366-395 ◽  
Author(s):  
C. Carron
Keyword(s):  
L2 Cohomology

scholarly journals Maximal rigid subalgebras of deformations and L2-cohomology

2021 ◽  
Vol 14 (7) ◽  
pp. 2269-2306
Author(s):  
Rolando de Santiago ◽  
Ben Hayes ◽  
Daniel J. Hoff ◽  
Thomas Sinclair
Keyword(s):  
L2 Cohomology

Some New Results on L2 Cohomology of Negatively Curved Riemannian Manifolds

2005 ◽  
Vol 57 (2) ◽  
pp. 251-266
Author(s):  
M. Cocos
Keyword(s):  
Heat Equation ◽  
Riemannian Manifolds ◽  
Curved Manifolds ◽  
Negatively Curved ◽  
Regularity Properties ◽  
L2 Cohomology ◽  
Cohomology Spaces

AbstractThe present paper is concerned with the study of the L2 cohomology spaces of negatively curved manifolds. The first half presents a finiteness and vanishing result obtained under some curvature assumptions, while the second half identifies a class of metrics having non-trivial L2 cohomology for degree equal to the half dimension of the space. For the second part we rely on the existence and regularity properties of the solution for the heat equation for forms.

Von Neumann Categories and Extended L2 Cohomology

K-Theory ◽  
1998 ◽  
Vol 15 (4) ◽  
pp. 347-405 ◽  
Author(s):  
Michael Farber
Keyword(s):  
Von Neumann ◽  
L2 Cohomology

scholarly journals DEGENERATE COMPLEX MONGE–AMPÈRE EQUATIONS OVER COMPACT KÄHLER MANIFOLDS

2010 ◽  
Vol 21 (03) ◽  
pp. 357-405 ◽  
Author(s):  
JEAN-PIERRE DEMAILLY ◽  
NEFTON PALI
Keyword(s):  
Existence And Uniqueness ◽  
General Type ◽  
Einstein Metrics ◽  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Canonical Sheaf ◽  
Kähler Einstein Metrics ◽  
Monge Ampere

We prove the existence and uniqueness of the solutions of some very general type of degenerate complex Monge–Ampère equations, and investigate their regularity. These types of equations are precisely what is needed in order to construct Kähler–Einstein metrics over irreducible singular Kähler spaces with ample or trivial canonical sheaf and singular Kähler–Einstein metrics over varieties of general type.

scholarly journals L2-Cohomology and group cohomology

Topology ◽  
1986 ◽  
Vol 25 (2) ◽  
pp. 189-215 ◽  
Author(s):  
Jeff Cheeger ◽  
Mikhael Gromov
Keyword(s):  
Group Cohomology ◽  
L2 Cohomology
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