Algebraic approximation of analytic subsets of $ {\mathbb{C}}^{q}\times \{0\}$ in $ {\mathbb{C}}^{q+1}$

Marcin Bilski

doi:10.1016/j.crma.2013.10.011

Complex analysis/Analytic geometry

Algebraic approximation of analytic subsets of

C^{q} \times {0}

C^{q + 1}

[Approximation algébrique dʼensembles analytiques de

C^{q} \times {0}

dans

C^{q + 1}

]

Présenté par : Jean-Pierre Demailly

Marcin Bilski ¹

¹ Faculty of Mathematics and Computer Science, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland

Comptes Rendus. Mathématique, Volume 351 (2013) no. 21-22, pp. 793-796.

Résumé
Abstract

On démontre que tout sous-ensemble analytique de $C^{q} \times {0}$ possède une approximation par un sous-ensemble algébrique de $C^{q + 1}$ .

We prove that every analytic subset of $C^{q} \times {0}$ admits approximation by algebraic sets in $C^{q + 1}$ .

Reçu le : 2013-09-27
Accepté le : 2013-10-16
Publié le : 2013-10-30

DOI : 10.1016/j.crma.2013.10.011

Affiliations des auteurs :

Marcin Bilski ¹

¹ Faculty of Mathematics and Computer Science, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland

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     journal = {Comptes Rendus. Math\'ematique},
     pages = {793--796},
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Marcin Bilski. Algebraic approximation of analytic subsets of $ {\mathbb{C}}^{q}\times \{0\}$ in $ {\mathbb{C}}^{q+1}$. Comptes Rendus. Mathématique, Volume 351 (2013) no. 21-22, pp. 793-796. doi : 10.1016/j.crma.2013.10.011. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2013.10.011/

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