4 papers
math.NT2026
On Drinfeld's representability theorem
Arnaud Vanhaecke
In the seventies, V. G. Drinfeld proved that a moduli problem of deformations by quasi-isogenies of certain -divisible groups with extra actions is representable by an explicit…
math.NT2025
Factorisation de la cohomologie de systèmes locaux -adiques sur le demi-plan de Drinfeld
Arnaud Vanhaecke
We compute the first cohomology group of the symmetric algebra of the universal étale -adic local system on the tower of coverings of Drinfeld's -adic half-plane. The result…
math.NT2024
Cohomologie de systèmes locaux -adiques sur les revêtements du demi-plan de Drinfeld
Arnaud Vanhaecke
Colmez, Dospinescu and Niziol have shown that the only -adic representations of appearing in the -adic étale cohomology of the cov…
math.NT2019
Le cristal de Dieudonné des schémas en -vectoriels
Arnaud Vanhaecke
In this paper we describe the Dieudonné crystal of a finite locally free group scheme with a vector action of a finite field . These -vector schemes appear…