Dolbeault cohomology - Open Access .click

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Mathematische Zeitschrift, 1999
Let \(G\) be a complex connected semisimple Lie group with parabolic subgroup \(P\). Let \((P,P)\) be its commutator subgroup. The generalized Borel-Weil theorem on flag manifolds has an analogous result on the Dolbeault cohomology \(H^{0,q}(G/(P,P))\). Consequently, the dimension of \(H^{0,q}(G/(P,P))\) is either 0 or \(\infty\).
Chuah, Meng-Kiat, Teo, Lee-Peng
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Laplace hyperfunctions via Čech-Dolbeault cohomology

2022
The paper studies several properties of Laplace hyperfunctions introduced by H.~Komatsu in the one dimensional case and by the authors in the higher dimensional cases from the viewpoint of Čech-Dolbeault cohomology theory, which enables us, for example, to construct the Laplace transformation and its inverse in a simple way.
Honda, Naofumi, Umeta, Kohei
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On the Sobolev Dolbeault cohomology of a domain with pseudoconcave boundaries

Acta Mathematica Scientia, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Deformations of Dolbeault cohomology classes for Lie algebra with complex structures

Annals of Global Analysis and Geometry, 2021

exaly

Dolbeault cohomology of compact complex manifolds with an action of a complex Lie group

Journal of Geometry and Physics, 2020
Nikita Klemyatin
exaly

Representations in Dolbeault cohomology

2000
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Relative cohomology of Dolbeault modules

Ahmed Abbes, Michel Gros
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Relative Čech–Dolbeault homology and applications

Annali Di Matematica Pura Ed Applicata, 2019
Nicoletta Tardini
exaly