Action de groupe et semi-stabilité du produit tensoriel

Gaël Rémond (1)

1 IF - Institut Fourier

We prove a conjecture of Coulangeon and Nebe which is a special case of a conjecture of Bost. Given two semi-stable metrized vector spaces over a number field we show that their tensor product is also semi-stable whenever there is a group acting on one of the spaces in a multiplicity-free way.

Domaines: Théorie des nombres [math.NT]

Gaël Rémond. Action de groupe et semi-stabilité du produit tensoriel. Confluentes Mathematici, 2019, 11 (1), pp.53-57. ⟨10.5802/cml.55⟩. ⟨hal-03041911⟩