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Finite local monodromy of overconvergent unit-root F-isocrystals on a curve
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 120, Number 6, December 1998
- pp. 1165-1190
- 10.1353/ajm.1998.0052
- Article
- Additional Information
We prove that the category of p-adic continuous representations of a fundamental group of a curve over a perfect field of a positive characteristic p with finite local monodromy is equivalent to that of overconvergent unit-root F-isocrystals on the curve. To show the equivalence of categories, we study the local theory and apply it to the global case.