The Dolbeault complex in infinite dimensions. III: Sheaf cohomology in Banach spaces

DOI10.1007/s002220000099zbMath0983.32010MaRDI QIDQ5926384

László Lempert

Publication date: 23 April 2002

Published in: Inventiones Mathematicae (Search for Journal in Brave)

zbMATH Keywords

Banach spacesČech cohomology

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Analytic sheaves and cohomology groups (32C35)

Related Items (20)

Holomorphic Approximation in Banach Spaces: A Survey ⋮ A converse to the Oka principle over certain complex Banach manifolds ⋮ Analytic cohomology of complete intersections in a Banach space. ⋮ Some applications of metric currents to complex analysis ⋮ \(L^2\) estimates and existence theorems for the \(\overline{\partial}\) operators in infinite dimensions. I ⋮ Unnamed Item ⋮ On complex Legendre duality ⋮ Union of linear spaces in infinite-dimensional projective spaces and holomorphic vector bundles ⋮ Topologically trivial holomorphic vector bundles on infinite-dimensional projective varieties ⋮ The Grauert-Oka principle in a Banach space ⋮ On holomorphic Banach vector bundles over Banach spaces ⋮ Analytic sheaves in Banach spaces☆ ⋮ Fredholm-valued holomorphic mappings on a Banach space ⋮ A Dolbeault isomorphism theorem in infinite dimensions ⋮ Isometries in spaces of Kähler potentials ⋮ Plurisubharmonic domination ⋮ Integrability of analytic almost complex structures on Banach manifolds ⋮ On the $\overline\partial$-equation in a Banach space ⋮ On a splitting problem ⋮ On holomorphic domination. II.

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