Comptes Rendus
no. 3
Algebraic geometry
Computing zeta functions on log smooth models
[Calcul de fonctions zêta à partir de modèles log lisses]

Présenté par : Claire Voisin

Emmanuel Bultot1
1 KU Leuven, Department of Mathematics, Celestijnenlaan 200B, B-3001 Heverlee, Belgium
Comptes Rendus. Mathématique, Volume 353 (2015) no. 3, pp. 261-264.

Nous établissons une formule pour la série volume de Poincaré d'un schéma log lisse. Ceci nous fournit en particulier une nouvelle expression et un ensemble réduit de candidats pôles pour la fonction zêta motivique d'une singularité d'hypersurface et d'une dégénération de variétés de Calabi–Yau.

We establish a formula for the volume Poincaré series of a log smooth scheme. This yields in particular a new expression and a smaller set of candidate poles for the motivic zeta function of a hypersurface singularity and of a degeneration of Calabi–Yau varieties.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2014.11.014
Emmanuel Bultot 1

1 KU Leuven, Department of Mathematics, Celestijnenlaan 200B, B-3001 Heverlee, Belgium 
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Emmanuel Bultot. Computing zeta functions on log smooth models. Comptes Rendus. Mathématique, Volume 353 (2015) no. 3, pp. 261-264. doi : 10.1016/j.crma.2014.11.014. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2014.11.014/

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