Representing analytic cohomology groups of complex manifolds

DOI10.5802/afst.1440zbMath1318.32015arXiv1312.7775OpenAlexW2963248720MaRDI QIDQ2017443

László Lempert

Publication date: 23 March 2015

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.7775

zbMATH Keywords

holomorphic vector bundlesBanach manifoldsČech complex

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Stein spaces (32E10) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10)

Cites Work

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• Analytic cohomology groups of infinite dimensional complex manifolds
• Plurisubharmonic domination in Banach spaces
• Dolbeault cohomology of a loop space
• Faisceaux algébriques cohérents
• Smoothly parameterized Čech cohomology of complex manifolds
• Holomorphic realization of \(\overline{\partial}\)-cohomology and constructions of representations
• Fonctions plurisousharmoniques sur les espaces vectoriels topologiques et applications à l'étude des fonctions analytiques
• Analytic sheaves in Banach spaces☆

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