Results 71 to 80 of about 130 (112)

A separation theorem and Serre duality for the Dolbeault cohomology

open access: yesArkiv för Matematik, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Laurent-Thiébaut, Christine   +1 more
openaire   +3 more sources

A vanishing theorem for Dolbeault cohomology of homogeneous vector bundles.

open access: yesJournal für die reine und angewandte Mathematik (Crelles Journal), 1997
Let \(G\) be a connected, complex linear algebraic group and \(P\) a parabolic subgroup. Suppose that \(M\) is a completely reducible \(P\)-module and \(\mathcal{L}(M)\) is the sheaf of sections of the associated holomorphic vector bundle \(G\times^{P}M \to G/P\).
openaire   +2 more sources

Dolbeault cohomology of complex manifolds with torus action

open access: yes, 2019
We describe the basic Dolbealut cohomology algebra of the canonical foliation on a class of complex manifolds with a torus symmetry group. This class includes complex moment-angle manifolds, LVM- and LVMB-manifolds and, in most generality, complex manifolds with a maximal holomorphic torus action.
Krutowski, Roman, Panov, Taras
openaire   +2 more sources

Basic (Dolbeault) Cohomology of Foliated Manifolds with Boundary

open access: yes
In this paper, we develop $L^2$ theory for Riemannian and Hermitian foliations on manifolds with basic boundary. We establish a decomposition theorem, various vanishing theorems, a twisted duality theorem for basic cohomologies and an extension theorem for basic forms of induced Riemannian foliation on the boundary.
Ji, Qingchun, Yao, Jun
openaire   +2 more sources

Home - About - Disclaimer - Privacy