Harder-Narasimhan filtrations for Breuil-Kisin-Fargues modules
Christophe Cornut (IMJ-PRG), Macarena Peche Irissarry (IMJ-PRG)
TL;DR
This paper introduces and analyzes Harder-Narasimhan filtrations on Breuil-Kisin-Fargues modules, advancing understanding in p-adic Hodge theory by establishing a structured approach to their stability properties.
Contribution
It defines Harder-Narasimhan filtrations for Breuil-Kisin-Fargues modules, providing a new framework for their analysis in p-adic Hodge theory.
Findings
Established existence and uniqueness of filtrations
Connected filtrations to stability conditions
Enhanced understanding of module structures in p-adic context
Abstract
We define and study Harder-Narasimhan filtrations on Breuil-Kisin-Fargues modules and related objects relevant to p-adic Hodge theory.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Algebraic structures and combinatorial models