An interpolation theorem on cycle spaces for functions arising as integrals of \(\overline{\partial}\)-closed forms

DOI10.2977/PRIMS/1201012373zbMath1154.32002OpenAlexW2167935509MaRDI QIDQ945581

Takeo Ohsawa

Publication date: 12 September 2008

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1201012373

zbMATH Keywords

\(q\)-complete manifold\(L^2\) method for \(\overline\partial\)compact cyclesintegration of cohomology classes

Mathematics Subject Classification ID

Parametrization (Chow and Hilbert schemes) (14C05) (q)-convexity, (q)-concavity (32F10) Integration on analytic sets and spaces, currents (32C30)

Related Items (1)

Variants of Hörmander's theorem on \(q\)-convex manifolds by a technique of infinitely many weights

Cites Work

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• Projectivity of the space of divisors on a normal compact complex space
• Carleman estimates for the Laplace-Beltrami equation on complex manifolds
• Le problème des modules pour les sous-espaces analytiques compacts d'un espace analytique donné
• Théorèmes de finitude pour la cohomologie des espaces complexes
• Convexité de l'espace des cycles
• Holomorphic functions on the cycle space: The intersection méthod

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