Finiteness of the space of n−cycles for a n−concave complex space - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2015

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

Daniel Barlet

Résumé

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.
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Dates et versions

hal-01184765 , version 1 (17-08-2015)
hal-01184765 , version 2 (11-07-2017)

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