Finiteness of the space of n-cycles for a reduced (n − 2)-concave complex space
EPIGA, Volume 1 (2017), Nr. 5 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 analy...
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| Vydáno v: | Épijournal de géométrie algébrique Ročník 1 |
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| Médium: | Journal Article |
| Jazyk: | angličtina |
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EPIGA
01.09.2017
Association Epiga |
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| Abstract | EPIGA, Volume 1 (2017), Nr. 5
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.
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. |
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| AbstractList | EPIGA, Volume 1 (2017), Nr. 5
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.
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. EPIGA, Volume 1 (2017), Nr. 5 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. 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. |
| Author | Barlet, Daniel |
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| DOI | 10.46298/epiga.2017.volume1.1521 |
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| Keywords | Closed n-cycles Hartogs figure f-analytic family of cycles strongly q-concave space |
| Language | English |
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| Snippet | EPIGA, Volume 1 (2017), Nr. 5
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... 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... EPIGA, Volume 1 (2017), Nr. 5 |
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| SubjectTerms | 32g13 ; 32g10 ; 32f10 ; 32d15 [math.math-ag] mathematics [math]/algebraic geometry [math.ag] [math.math-cv] mathematics [math]/complex variables [math.cv] Algebraic Geometry closed n-cycles Complex Variables f-analytic family of cycles hartogs figure Mathematics strongly q-concave space |
| Title | Finiteness of the space of n-cycles for a reduced (n − 2)-concave complex space |
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