Fibre de Milnor motivique à l'infini

Michel Raibaut

doi:10.1016/j.crma.2010.01.008

Géométrie algébrique

Fibre de Milnor motivique à l'infini

Présenté par : Christophe Soulé

Michel Raibaut ¹

¹ Laboratoire J.A. Dieudonné, UMR CNRS 6621, université de Nice-Sophia Antipolis, parc Valrose, 06108 Nice cedex 2, France

Comptes Rendus. Mathématique, Volume 348 (2010) no. 7-8, pp. 419-422.

Résumé (VO)
Abstract

Pour une application régulière $f : U \to A^{1}$ à source lisse, nous définissons une fibre de Milnor motivique à l'infini et nous la calculons dans le cas d'un polynôme de Laurent non dégénéré pour son polyèdre de Newton à l'infini.

Given a regular map $f : U \to A^{1}$ on a smooth variety U we define a motivic Milnor fiber at infinity and we compute it in the case of a non-degenerate Laurent polynomial for its Newton polyhedra at infinity.

Reçu le : 2009-12-01
Accepté le : 2010-01-08
Publié le : 2010-03-12

DOI : 10.1016/j.crma.2010.01.008

Affiliations des auteurs :

Michel Raibaut ¹

¹ Laboratoire J.A. Dieudonné, UMR CNRS 6621, université de Nice-Sophia Antipolis, parc Valrose, 06108 Nice cedex 2, France

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Michel Raibaut. Fibre de Milnor motivique à l'infini. Comptes Rendus. Mathématique, Volume 348 (2010) no. 7-8, pp. 419-422. doi : 10.1016/j.crma.2010.01.008. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2010.01.008/

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