Finiteness of the space of n−cycles for a n−concave complex space

Daniel Barlet (1)

1 Géométrie

We show that for n ≥ 2 the space of closed n−cycles in a strongly n−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.

Domaines: Variables complexes [math.CV]; Géométrie algébrique [math.AG]

Daniel Barlet. Finiteness of the space of n−cycles for a n−concave complex space. 2015. ⟨hal-01184765v1⟩