Analytic cohomology groups of infinite dimensional complex manifolds

DOI10.1016/j.jmaa.2015.12.023zbMath1361.32012arXiv1312.7327OpenAlexW2963317205MaRDI QIDQ313532

László Lempert

Publication date: 12 September 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.7327

zbMATH Keywords

cohomologyBanach manifoldscohesive sheaves

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Analytic sheaves and cohomology groups (32C35) Stein manifolds (32Q28)

Related Items (3)

Noncommutative potential theory ⋮ Representing analytic cohomology groups of complex manifolds ⋮ Isometries in spaces of Kähler potentials

Cites Work

• Plurisubharmonic domination in Banach spaces
• On complex Banach manifolds similar to Stein manifolds
• Un théorème de dualité
• Faisceaux algébriques cohérents
• Quasi-normable preduals of spaces of holomorphic functions
• On holomorphic domination. II.
• Fonctions plurisousharmoniques sur les espaces vectoriels topologiques et applications à l'étude des fonctions analytiques
• Complexe dualisant et théorèmes de dualité en géométrie analytique complexe
• Dualité relative en géométrie analytique complexe
• Holomorphic functions on locally convex topological vector spaces. I: Locally convex topologies on \({\mathcal H}(U)\)
• Coherent sheaves and cohesive sheaves
• Global Regularity for $\overline \partial$ on Weakly Pseudo-Convex Manifolds
• Analytic sheaves in Banach spaces☆
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