Some applications of Serre duality in CR manifolds

DOI10.1017/S0027763000025356zbMath0937.32015OpenAlexW1563640991MaRDI QIDQ4267428

Christine Laurent-Thiébaut, Jürgen Leiterer

Publication date: 7 June 2000

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000025356

zbMATH Keywords

Serre dualitytangential Cauchy-Riemann operator\(q\)-concave CR manifoldsHartogs-Bochner type extension theorems

Mathematics Subject Classification ID

(q)-convexity, (q)-concavity (32F10) Extension of functions and other analytic objects from CR manifolds (32V25)

Related Items

Calabi-Yau structures on categories of matrix factorizations, Weak \(q\)-concavity conditions for CR manifolds, On the boundary complex of the \(k\)-Cauchy-Fueter complex, Non-degeneracy of cohomological traces for general Landau-Ginzburg models, An Andreotti-Vesentini separation theorem on CR manifolds., \(L^p\)-theory and Serre duality for the tangential Cauchy-Riemann equation, Malgrange's vanishing theorem for weakly pseudoconcave CR manifolds, The \(\overline{\partial}_M\)-equation and the Hartogs phenomenon on weakly \(q\)-pseudoconcave CR manifolds, $L^{2}$ Serre duality on domains in complex manifolds and applications

Cites Work

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• INTEGRAL REPRESENTATIONS OF DIFFERENTIAL FORMS ON CAUCHY-RIEMANN MANIFOLDS AND THE THEORY OF CR-FUNCTIONS. II