A Harder-Narasimhan theory for Kisin modules

A Harder-Narasimhan theory for Kisin modules

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...

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Veröffentlicht in:arXiv.org 2020-04
Hauptverfasser: Levin, Brandon, Wang-Erickson, Carl
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Mathematical analysis
Mathematics - Algebraic Geometry
Mathematics - Number Theory
Modules
Tensors
Theorems
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description 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.
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subjects Mathematical analysis
Mathematics - Algebraic Geometry
Mathematics - Number Theory
Modules
Tensors
Theorems
title A Harder-Narasimhan theory for Kisin modules
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