A Harder-Narasimhan theory for Kisin modules

Abstract

We develop a Harder-Narasimhan theory for Kisin modules generalizing a similar theory for finite flat group schemes due to Fargues. We prove the tensor product theorem, i.e., that the tensor product of semi-stable objects is again semi-stable. We then apply the tensor product theorem to the study of Kisin varieties for arbitrary connected reductive groups.

51 pages, 4 figures. To appear in Algebraic Geometry

References in corpus (3)

• Théorie de la réduction pour les groupes p-divisibles
• The reduction of $G$-ordinary crystalline representations with $G$-structure
• Harder-Narasimhan theory

Cited by in corpus (4)

• Théorie de la réduction pour les groupes p-divisibles
• A New Northcott Property for Faltings Height
• Eichler-Shimura Relations for Shimura Varieties of Hodge Type
• The reduction of $G$-ordinary crystalline representations with $G$-structure