VANISHING OF COHOMOLOGY GROUPS OF A CERTAIN IDEAL SHEAF

2001 ◽  
Vol 29 (11) ◽  
pp. 5131-5143
Author(s):  
Hiroyuki Terakawa
Keyword(s):  
Ideal Sheaf ◽  
Cohomology Groups ◽  
Vanishing Of Cohomology

scholarly journals Some applications of the theory of harmonic integrals

2015 ◽  
Vol 2 (1) ◽  
Author(s):  
Shin-ichi Matsumura
Keyword(s):  
Ideal Sheaf ◽  
Cohomology Groups ◽  
Multiplier Ideal Sheaf ◽  
Singular Metrics ◽  
Adjoint Bundle ◽  
Multiplier Ideal

AbstractIn this survey, we present recent techniques on the theory of harmonic integrals to study the cohomology groups of the adjoint bundle with the multiplier ideal sheaf of singular metrics. As an application, we give an analytic version of the injectivity theorem.

scholarly journals Vanishing of cohomology groups of random simplicial complexes

2019 ◽  
Vol 56 (2) ◽  
pp. 461-500 ◽  
Author(s):  
Oliver Cooley ◽  
Nicola Del Giudice ◽  
Mihyun Kang ◽  
Philipp Sprüssel
Keyword(s):  
Simplicial Complexes ◽  
Cohomology Groups ◽  
Random Simplicial Complexes ◽  
Vanishing Of Cohomology

scholarly journals REGULARITY AND RESOLUTIONS FOR MULTIGRADED MODULES

2007 ◽  
Vol 06 (04) ◽  
pp. 703-730
Author(s):  
JEROME W. HOFFMAN ◽  
HAOHAO WANG
Keyword(s):  
Local Cohomology ◽  
Free Resolutions ◽  
Vanishing Theorems ◽  
Cohomology Groups ◽  
Vanishing Of Cohomology ◽  
Multigraded Modules

This paper is concerned with the relationships between two concepts, vanishing of cohomology groups and the structure of free resolutions. In particular, we study the connection between vanishing theorems for the local cohomology of multigraded modules and the structure of their free multigraded resolutions.

On Homology and Cohomology Groups of Remainders

2004 ◽  
Vol 11 (4) ◽  
pp. 613-633
Author(s):  
V. Baladze ◽  
L. Turmanidze
Keyword(s):  
Uniform Space ◽  
Cohomology Groups ◽  
Uniform Spaces ◽  
Intrinsic Characterization

Abstract Border homology and cohomology groups of pairs of uniform spaces are defined and studied. These groups give an intrinsic characterization of Čech type homology and cohomology groups of the remainder of a uniform space.

scholarly journals Degree three unramified cohomology groups

2016 ◽  
Vol 458 ◽  
pp. 120-133 ◽  
Author(s):  
Akinari Hoshi ◽  
Ming-chang Kang ◽  
Aiichi Yamasaki
Keyword(s):  
Cohomology Groups ◽  
Unramified Cohomology

scholarly journals Vanishing of cohomology over Cohen–Macaulay rings

2012 ◽  
Vol 139 (3-4) ◽  
pp. 535-544 ◽  
Author(s):  
Lars Winther Christensen ◽  
Henrik Holm
Keyword(s):  
Vanishing Of Cohomology
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