|
Daniel Barlet - Finiteness of the space of n-cycles for a reduced (n − 2)-concave complex space
epiga:1521 - Épijournal de Géométrie Algébrique, September 1, 2017, Volume 1 - https://doi.org/10.46298/epiga.2017.volume1.1521Finiteness of the space of n-cycles for a reduced (n − 2)-concave complex spaceArticle
- 1 Institut Universitaire de France
- 2 Institut Élie Cartan de Lorraine
- 3 Institut universitaire de France [IUF]
EPIGA, Volume 1 (2017), Nr. 5
[en]
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.
[fr]
Nous montrons que, pour n ≥ 2, l'espace des n-cycles fermés dans un espace complexe fortement (n − 2)-concave a une structure naturelle d'espace complexe réduit localement de dimension finie et que cet espace représente le foncteur " famille analytique de n-cycles " paramétrée par des ensembles analytiques banachiques.
Source: HAL:hal-01184765v2
Volume: Volume 1
Published on: September 1, 2017
Accepted on: July 12, 2017
Submitted on: July 12, 2017
Keywords: 32G13 ; 32G10 ; 32F10 ; 32D15, [MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV], [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG], [en] Closed n-cycles, strongly q-concave space, Hartogs figure, f-analytic family of cycles
Consultation statistics
This page has been seen 684 times.
This article's PDF has been downloaded 635 times.