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

Vol. 11 No. 3 (2016) P.579~P.602
 DOI: https://doi.org/10.21915/BIMAS.2016304 10.21915/BIMAS.2016304

ABSTRACT

By using holomorphic Morse inequalities we prove that sufficiently small deformations of a pseudoconcave domain in a projective manifold is Moishezon.

KEYWORDS
Deformation of complex structure, q-concave manifold, Moishezon man- ifold, holomorphic Morse inequalities.

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 32L10, 32F10, 32G05.

MILESTONES