Finiteness of the space of n-cycles for a reduced (n -- 2)-concave complex space
Complex Variables
2017-07-13 v2 Algebraic Geometry
Abstract
We show that for n 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.
Cite
@article{arxiv.1508.04610,
title = {Finiteness of the space of n-cycles for a reduced (n -- 2)-concave complex space},
author = {Daniel Barlet},
journal= {arXiv preprint arXiv:1508.04610},
year = {2017}
}
Comments
EPIGA, Volume 1 (2017), Nr. 5