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}

in

C^{q + 1}

Presented by: 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

Abstract (Original language)
Résumé

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

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

Received: 2013-09-27
Accepted: 2013-10-16
Published online: 2013-10-30

DOI: 10.1016/j.crma.2013.10.011

Author's affiliations:

Marcin Bilski ¹

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

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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

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