Séminaire de Théorie des Nombres de Montpellier :

Le 07 avril 2010 à 14:00 - salle 431

Présentée par Chiarelotto Bruno - Università degli Studi di Padova

log-growth for p-adic differential equations.

We will investigate some arithmetic properties of the power series solutions of a p-adic differential equation and we will link it to the action of the Frobenius. Such a property (log-growth) can be defined both at a generic point and a special one. We compare then the two behaviors.