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Uniform bound for points of bounded degree in function fields of positive characteristic

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Uniform bound for points of bounded degree in function fields of positive characteristic

I will present a bound for the number of F_q[t]-points of bounded degree in a variety defined over Z[t], uniform in q. This generalizes work by Sedunova for fixed q. The proof involves model theory of valued fields with algebraic Skolem functions and uniform non-Archimedean Yomdin-Gromov parametrizations. This is joint work with Raf Cluckers and François Loeser.

- Séminaire Géométrie et théorie des modèles

Détails :

Orateur / Oratrice : Arthur Forey
Date : 14 décembre 2018
Horaire : 11h00 - 12h30
Lieu : ENS Salle W