Top-degree global solvability in CR and locally integrable hypocomplex structures

DOI10.1007/s12220-020-00573-1zbMath1477.32060OpenAlexW3132754343MaRDI QIDQ2050619

Max Reinhold Jahnke, Paulo D. Cordaro

Publication date: 31 August 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-020-00573-1

zbMATH Keywords

hypocomplex manifoldstangential Cauchy-Riemann complexestop-degree cohomology for the \(\overline\partial_b\) operator

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) (overlinepartial_b) and (overlinepartial_b)-Neumann operators (32W10)

Related Items

Elliptic involutive structures on compact Lie groups ⋮ Cauchy integral operator in complex structures with degeneracies

Cites Work

• Microlocal hypo-analyticity and extension of CR functions
• On the solvability of linear partial differential equations in spaces of hyperfunctions
• Local solvability in a class of overdetermined systems of linear PDE
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• Dualité relative en géométrie analytique complexe
• Homology and cohomology in hypo-analytic structures of the hypersurfaces type
• Théorèmes de finitude pour la cohomologie des espaces complexes
• A remark on the poincaré lenma in analytic complexes with nondegenerate levi form
• Local solvability for a class of differential complexes
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