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arxiv: 1404.1870 · v1 · pith:I5Q5EBG5new · submitted 2014-04-07 · 🧮 math.CV · math.AG

Two semi-coninuity results for the algebraic dimension of compact complex manifolds

classification 🧮 math.CV math.AG
keywords algebraiccompactcomplexdimensionmanifoldsresultscodimensioncycle-space
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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 disc.

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