Minimal slope conjecture of F-isocrystals

• 成果类型: Article
• 署名作者: Tsuzuki, Nobuo
• 署名单位: Tohoku University
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-022-01146-5
• 发表日期: 2023
• 页码: 39-109
• 关键词: semistable reduction; logarithmic growth; rigid cohomology; filtrations; monodromy; THEOREM

摘要

The minimal slope conjecture, which was proposed by K. S. Kedlaya, asserts that two irreducible overconvergent F-isocrystals on a smooth variety are isomorphic to each other if both minimal slope constitutions of slope filtrations are isomorphic to each other. We affirmatively solve the minimal slope conjecture for overconvergent F-isocrystals on curves and for overconvergent (Q) over bar (p)-F-isocrystals on smooth varieties over finite fields.