Approximation of analytic sets with proper projection by Nash sets

Marcin Bilski

doi:10.1016/j.crma.2005.10.016

Analytic Geometry

Approximation of analytic sets with proper projection by Nash sets

Presented by: Jean-Pierre Demailly

Marcin Bilski ¹

¹ Computer Science Department, Jagiellonian University, Nawojki 11, 30-072 Kraków, Poland

Comptes Rendus. Mathématique, Volume 341 (2005) no. 12, pp. 747-750.

Abstract
Résumé

Let X be an analytic subset of $U \times C^{k}$ of pure dimension such that the projection $π : X \to U$ is surjective and proper, where U is a Runge domain. We show that X can be approximated by Nash sets.

Soit $X \subset U \times C^{k}$ un ensemble analytique de dimension pure tel que la projection $π : X \to U$ est surjective et propre, où U est un domaine de Runge. Nous démontrons que X est approchable par des ensembles de Nash.

Received: 2005-08-29
Accepted: 2005-10-11
Published online: 2005-11-21

DOI: 10.1016/j.crma.2005.10.016

Author's affiliations:

Marcin Bilski ¹

¹ Computer Science Department, Jagiellonian University, Nawojki 11, 30-072 Kraków, Poland

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     title = {Approximation of analytic sets with proper projection by {Nash} sets},
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     pages = {747--750},
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     doi = {10.1016/j.crma.2005.10.016},
     language = {en},
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Marcin Bilski. Approximation of analytic sets with proper projection by Nash sets. Comptes Rendus. Mathématique, Volume 341 (2005) no. 12, pp. 747-750. doi : 10.1016/j.crma.2005.10.016. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2005.10.016/

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