Parabolicity conjecture of F-iso crystals

• 成果类型: Article
• 署名作者: D'Addezio, Marco
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2023.198.2.3
• 发表日期: 2023
• 页码: 619-656
• 关键词: abelian-varieties; semistable reduction; isocrystals; monodromy; frobenius; THEOREM

摘要

In this article we prove Crew's parabolicity conjecture of F-iso crystals. For this purpose, we introduce and study the notion of & DAG;-hull of a sub-F-iso-crystal. On the way, we prove a new Lefschetz theorem for overconvergent F-iso crystals.