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arXiv · 1508.04610

Finiteness of the space of n-cycles for a reduced (n -- 2)-concave complex space

Daniel Barlet
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Abstract

We show that for n $\ge$ 2 the space of closed n-cycles in a strongly (n -- 2)-concave complex space has a natural structure of reduced complex space locally of finite dimension and represents the functor "analytic family of n-cycles" parametrized by Banach analytic sets.

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Daniel Barlet. 2015-08-19. Finiteness of the space of n-cycles for a reduced (n -- 2)-concave complex space. https://arxiv.org/abs/1508.04610

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