Normalized non-Archimedean links and surface singularities

Lorenzo Fantini

doi:10.1016/j.crma.2014.06.010

Algebraic geometry

Normalized non-Archimedean links and surface singularities
[Entrelacs non archimédiens normalisés et singularités des surfaces]

Présenté par : the Editorial Board

Lorenzo Fantini ¹

¹ University of Leuven, Department of Mathematics, Celestijnenlaan 200B, B-3001 Heverlee, Belgium

Comptes Rendus. Mathématique, Volume 352 (2014) no. 9, pp. 719-723.

Résumé
Abstract

On définit un analogue en géométrie analytique non archimédienne de l'entrelac d'une singularité, et on l'utilise pour étudier les surfaces sur un corps algébriquement clos. Cela donne une caractérisation des valuations log-essentielles.

We define a non-Archimedean analytic version of the link of a singularity, and we use it to study surfaces over an algebraically closed field. This yields a characterization of log essential valuations.

Reçu le : 2014-04-24
Accepté le : 2014-06-29
Publié le : 2014-07-25

DOI : 10.1016/j.crma.2014.06.010

Affiliations des auteurs :

Lorenzo Fantini ¹

¹ University of Leuven, Department of Mathematics, Celestijnenlaan 200B, B-3001 Heverlee, Belgium

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     title = {Normalized {non-Archimedean} links and surface singularities},
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Lorenzo Fantini. Normalized non-Archimedean links and surface singularities. Comptes Rendus. Mathématique, Volume 352 (2014) no. 9, pp. 719-723. doi : 10.1016/j.crma.2014.06.010. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2014.06.010/

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Cité par

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