Smoothly parameterized Čech cohomology of complex manifolds

DOI10.1007/BF02921856zbMath1082.32008arXivmath/0406142MaRDI QIDQ1781395

Michael G. Eastwood, Simon G. Gindikin, Toby N. Bailey

Publication date: 24 June 2005

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0406142

zbMATH Keywords

\(s\)-convex tubesmixed manifoldsparametrized Čech cohomology

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analytic sheaves and cohomology groups (32C35) Semisimple Lie groups and their representations (22E46) Sheaves of differential operators and their modules, (D)-modules (32C38) Geometric convexity in several complex variables (32F99) Local cohomology of analytic spaces (32C36)

Related Items

Para-mixed linear spaces ⋮ Representing analytic cohomology groups of complex manifolds ⋮ Complex geometry of real hyperboloids ⋮ Cohomological Laplace transform on non-convex cones and Hardy spaces of $\bar{\partial}$-cohomology on non-convex tube domains ⋮ Upper Half-plane in the Grassmanian Gr(n; 2n)

Cites Work

• Complex analytic coordinates in almost complex manifolds
• Cohomology and massless fields
• Holomorphic realization of \(\overline{\partial}\)-cohomology and constructions of representations
• Real methods in twistor theory
• Linear field equations on self-dual spaces
• Self-duality in four-dimensional Riemannian geometry
• On the Relative De Rham Sequence
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