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arXiv · 1606.00914

A Harder-Narasimhan theory for Kisin modules

Brandon Levin·Carl Wang-Erickson
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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.

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Brandon Levin, Carl Wang-Erickson. 2016-06-02. A Harder-Narasimhan theory for Kisin modules. https://doi.org/10.14231/ag-2020-024

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