Overholonomicity of overconvergent F-isocrystals over smooth varieties

• 成果类型: Article
• 署名作者: Caro, Daniel; Tsuzuki, Nobuo
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2012.176.2.2
• 发表日期: 2012
• 页码: 747-813
• 关键词: arithmetic d-modules; semistable reduction; COHOMOLOGY

摘要

We prove the overholonomicity of overconvergent F-isocrystals over smooth varieties. This implies that the notions of overholonomicity and devissability in overconvergent F-isocrystals are equivalent. Then the overholonomicity is stable under tensor products. So, the overholonomicity gives a p-adic cohomology stable under Grothendieck's cohomological operations.