Results 1  10
of
4,018
Cohomology groups of . . .
, 2009
"... The cohomology groups of line bundles over complex tori (or abelian varieties) are classically studied invariants of these spaces. In this article, we compute the cohomology groups of line bundles over various holomorphic, noncommutative deformations of complex tori. Our analysis interpolates betwe ..."
Abstract
 Add to MetaCart
The cohomology groups of line bundles over complex tori (or abelian varieties) are classically studied invariants of these spaces. In this article, we compute the cohomology groups of line bundles over various holomorphic, noncommutative deformations of complex tori. Our analysis interpolates
Cohomology Groups ∗
, 2005
"... In this paper, we establish the Pexiderized stability of coboundaries and cocycles and use them to investigate the Hyers–Ulam stability of some functional equations. We prove that for each Banach algebra A, Banach Abimodule X and positive integer n,H n (A,X) = 0 if and only if the nth cohomology ..."
Abstract
 Add to MetaCart
group approximately vanishes. 1 Introduction. Topological cohomology arose from the problems concerning extensions by H. Kamowitz who introduced the Banach version of Hochschild cohomology groups in 1962 [12], derivations by R. V. Kadison and J. R. Ringrose [10], [11] and amenability by B.E. Johnson [9
ON HOMOLOGY AND COHOMOLOGY GROUPS OF REMAINDERS
"... Dedicated to the memory of Professor G. Ghogoshvili 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. ..."
Abstract
 Add to MetaCart
Dedicated to the memory of Professor G. Ghogoshvili 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.
DIMENSIONS OF `pCOHOMOLOGY GROUPS
"... Abstract. Let G be an infinite discrete group of type FP ∞ and let 1 < p ∈ R. We prove that the `phomology and cohomology groups of G are either 0 or infinite dimensional. We also show that the cardinality of the pharmonic boundary of a finitely generated group is either 0, 1, or ∞. 1. ..."
Abstract
 Add to MetaCart
Abstract. Let G be an infinite discrete group of type FP ∞ and let 1 < p ∈ R. We prove that the `phomology and cohomology groups of G are either 0 or infinite dimensional. We also show that the cardinality of the pharmonic boundary of a finitely generated group is either 0, 1, or ∞. 1.
ON THE COHOMOLOGY GROUPS OF HOLOMORPHIC BANACH BUNDLES
, 810
"... Abstract. We consider a compact complex manifold M, and introduce the notion of two holomorphic Banach bundles E, F over M being compact perturbations of one another. Given two such bundles we show that if the cohomology groups H q (M, E) are finite dimensional then so are the cohomology groups H q ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
Abstract. We consider a compact complex manifold M, and introduce the notion of two holomorphic Banach bundles E, F over M being compact perturbations of one another. Given two such bundles we show that if the cohomology groups H q (M, E) are finite dimensional then so are the cohomology groups H q
Galois cohomology group
, 2015
"... Let E/Q be an elliptic curve and p be a prime number, and let G be the Galois group of the extension of Q obtained by adjoining the coordinates of the ptorsion points on E. We determine all cases when the ..."
Abstract
 Add to MetaCart
Let E/Q be an elliptic curve and p be a prime number, and let G be the Galois group of the extension of Q obtained by adjoining the coordinates of the ptorsion points on E. We determine all cases when the
Cohomology groups of toric varieties
"... Although we treat real fans later, we begin with fans consisting of rational cones which define toric varieties. Let r be a nonnegative integer, N ' Zr, M = HomZ(N,Z), NR = N Z R and MR = M Z R. Let h, i: MR £ NR! R be the natural perfect pairing. We assume that cones in NR are strongly convex ..."
Abstract
 Add to MetaCart
Although we treat real fans later, we begin with fans consisting of rational cones which define toric varieties. Let r be a nonnegative integer, N ' Zr, M = HomZ(N,Z), NR = N Z R and MR = M Z R. Let h, i: MR £ NR! R be the natural perfect pairing. We assume that cones in NR are strongly convex rational polyhedral cones. We consider only finite fans here. Definition 1.1 A subset Φ of a fan Σ is said to be (1) star closed if σ 2 Φ, τ 2 Σ
Results 1  10
of
4,018