Poincaré lemma for tangential Cauchy Riemann complexes

DOI10.1007/BF01451852zbMath0574.32045WikidataQ124968553 ScholiaQ124968553MaRDI QIDQ1063753

Mauro Nacinovich

Publication date: 1984

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/182931

zbMATH Keywords

Levi formcomplex manifoldPoincaré lemmatangential Cauchy-Riemann complexreal submanifoldsheaves of germs of differential forms

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) Analytic sheaves and cohomology groups (32C35) Differential complexes (58J10) Holomorphic bundles and generalizations (32L05) Local cohomology of analytic spaces (32C36)

Related Items (18)

On strict Levi q-convexity and q-concavity on domains with piecewise smooth boundaries ⋮ Tangential Cauchy-Riemann complexes on distributions ⋮ Subelliptic harmonic morphisms ⋮ Non-subelliptic estimates for the tangential Cauchy-Riemann system ⋮ Boundary Hölder and $L^p$ estimates for local solutions of the tangential Cauchy-Riemann equation ⋮ Aneurysms of pseudoconcave \(CR\) manifolds ⋮ Unnamed Item ⋮ Gevrey local solvability in locally integrable structures ⋮ CR immersions and Lorentzian geometry ⋮ \(L^p\)-theory and Serre duality for the tangential Cauchy-Riemann equation ⋮ On the Cauchy problem in complex analysis ⋮ Pluriharmonic functions on abstract CR manifolds ⋮ On local solvability of certain differential complexes ⋮ Conormal suspensions of differential complexes ⋮ The \(\overline{\partial}_M\)-equation and the Hartogs phenomenon on weakly \(q\)-pseudoconcave CR manifolds ⋮ Unnamed Item ⋮ Leray residues and Abel's theorem in CR codimension \(k\) ⋮ Obstructions to generic embeddings

Cites Work

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• On weighted estimates for some systems of partial differential operators
• Noncharacteristic hypersurfaces for complexes of differential operators
• Complexes of differential operators. The Mayer-Vietoris sequence
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Localization principle for differential complexes and its application
• Théorèmes de finitude pour la cohomologie des espaces complexes
• Mayer-Vietoris sequences for complexes of differential operators
• On local solvability of linear partial differential equations part I: Necessary conditions
• The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
• Differential equations without solutions

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