Morphisms of F-isocrystals and the finite monodromy theorem for unit-root F-isocrystals

Nobuo Tsuzuki

Research output: Contribution to journalArticle

34 Citations (Scopus)

Abstract

We discuss Tate-type problems for F-isocrystals, that is, the full faithfulness of the natural restriction functors between categories of overconvergent F-isocrystals on schemes of positive characteristic. We prove it in the cases of unit-root F-isocrystals. Using this result, we prove that an overconvergent unit-root F-isocrystal has a finite monodromy.

Original languageEnglish
Pages (from-to)385-418
Number of pages34
JournalDuke Mathematical Journal
Volume111
Issue number3
DOIs
Publication statusPublished - 2002 Jan 1
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Morphisms of F-isocrystals and the finite monodromy theorem for unit-root F-isocrystals'. Together they form a unique fingerprint.

Cite this