Vanishing theorems for higher cohomology groups of the structural sheaf on certain complex topological vector spaces

DOI10.1080/02781070500368208zbMath1088.32009OpenAlexW2224238944MaRDI QIDQ5201522

Edoardo Ballico

Publication date: 19 April 2006

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02781070500368208

zbMATH Keywords

Banach manifoldcohomology groupinfinite-dimensional complex manifoldinfinite-dimensional complex space

Mathematics Subject Classification ID

Banach analytic manifolds and spaces (32K05) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Vanishing theorems (32L20) Generalizations of analytic spaces (32K99)

Cites Work

• Local cohomological dimension of algebraic varieties
• Le problème des modules pour les sous-espaces analytiques compacts d'un espace analytique donné
• Analytic functions of an infinite number of complex variables
• The Dolbeault complex in infinite dimensions I

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