Existence of Holomorphic Sections and Perturbation of Positive Line Bundles over q–Concave Manifolds

DOI10.21915/BIMAS.2016304zbMath1371.32014arXivmath/0402041MaRDI QIDQ2834856

George Marinescu

Publication date: 24 November 2016

Published in: Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0402041

zbMATH Keywords

Moishezon manifoldholomorphic Morse inequalitiesdeformation of complex structuremoishezon manifoldq-concave manifold

Mathematics Subject Classification ID

(q)-convexity, (q)-concavity (32F10) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Deformations of complex structures (32G05)

Related Items (4)

Szegő kernel asymptotics and Morse inequalities on CR manifolds ⋮ Existence of CR sections for high power of semi-positive generalized Sasakian CR line bundles over generalized Sasakian CR manifolds ⋮ Holomorphic Morse inequalities on manifolds with boundary ⋮ On a holomorphic family of Stein manifolds with strongly pseudoconvex boundaries

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