Action de groupe et semi-stabilité du produit tensoriel

Action de groupe et semi-stabilité du produit tensoriel

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.

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Veröffentlicht in:Confluentes Mathematici 2019-08, Vol.11 (1), p.53-57
1. Verfasser: Rémond, Gaël
Format: Artikel
Sprache:eng ; fre
Schlagworte:
Mathematics
Number Theory
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Zusammenfassung: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.
ISSN:1793-7434
1793-7442
1793-7434
DOI:10.5802/cml.55