2001/02/21 by Kiran S. Kedlaya, Kedlaya, Kiran S. · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #14F30 #Algebraic Geometry (math.AG) #Electromagnetic Scattering and Analysis #FOS: Mathematics #Holomorphic and Operator Theory #Matrix Theory and Algorithms #math.AG #msc:14F30
paper · pdf · doi:10.48550/arxiv.math/0102173
24 pages; typos corrected, notation modified
openalex publication_date 2001/02/21 · arxiv created 2001/05/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper (part of the author's PhD thesis), we introduce the notions of semistability and potential semistability of overconvergent F-crystals over an equal characteristic local field. We establish their equivalence with the notions of unipotency and quasi-unipotency given by Crew, and to recast the conjecture that every overconvergent crystal is quasi-unipotent in terms of potential semistability. Consequences, including an extension of de Jong's extension theorem for F-crystals to the logarithmic case, will appear in a subsequent paper.