Two Semi-Continuity Results for the Algebraic Dimension of Compact Complex Manifolds

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J. Math. Sci. Univ. Tokyo
Vol. 22 (2015), No. 1, Page 39–54.

Barlet, Daniel
Two Semi-Continuity Results for the Algebraic Dimension of Compact Complex Manifolds
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Abstract:
Using some relative codimension 1 cycle-space method, we give, following the ideas of D. Popovici [P.13], semicontinuity results for the algebraic dimension in a family a compact complex manifolds parametrized by a reduced complex space.

Keywords: Algebraic dimension, relative codimension 1 cycle-space, Moishezon spaces.

Mathematics Subject Classification (2010): 32G05, 32A20, 32J10.

Mathematical Reviews Number: MR3329190

Received: 2014-04-08

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