The Hartogs phenomenon in hypersurfaces with constant signature

DOI10.1007/s10231-004-0103-yzbMath1121.32017OpenAlexW1972945354MaRDI QIDQ861964

Judith Brinkschulte

Publication date: 2 February 2007

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-004-0103-y

zbMATH Keywords

extension of CR functions

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Extension of functions and other analytic objects from CR manifolds (32V25)

Related Items (2)

Nonexistence of Levi-degenerate hypersurfaces of constant signature in \(\mathrm {CP}^n\) ⋮ The \(\overline{\partial}_M\)-equation and the Hartogs phenomenon on weakly \(q\)-pseudoconcave CR manifolds

Cites Work

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• The \(\bar \partial\)-problem with support conditions on some weakly pseudoconvex domains
• Boundary distance functions and \(q\)-convexity of pseudoconvex domains of general order in Kähler manifolds
• Shorter Notes: The Levi Form and Local Complex Foliations
• Résolution du ∂- pour les Courants Prolongeables
• Estimations $\mathrm{L}^2$ pour l'opérateur $\bar \partial$ d'un fibré vectoriel holomorphe semi-positif au-dessus d'une variété kählérienne complète

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