Group actions on the Dolbeault cohomology of homogeneous manifolds

DOI10.1007/PL00004359zbMath0891.32007OpenAlexW1981899630MaRDI QIDQ1380111

Dmitri N. Akhiezer

Publication date: 6 July 1998

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00004359

zbMATH Keywords

homogeneous manifoldsgroup actionsDolbeault cohomology

Mathematics Subject Classification ID

Analytic sheaves and cohomology groups (32C35) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Group structures and generalizations on infinite-dimensional manifolds (58B25)

Related Items

Picard groups of certain compact complex parallelizable manifolds and related spaces, Homological methods in certain Picard group computations, Line bundles and flat connections, Frölicher spectral sequence and Hodge structures on the cohomology of complex parallelisable manifolds, Dolbeault cohomology of compact complex manifolds with an action of a complex Lie group, Dolbeault cohomology groups of compact pseudo-Kähler homogeneous manifolds, Dolbeault cohomology of compact nilmanifolds, Complex analytic geometry of complex parallelizable manifolds, Dolbeault cohomology of compact complex homogeneous manifolds