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
Received: 2016-08-30
Revised :
Accepted:
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