Finite local monodromy of overconvergent unit-root F-isocrystals on a curve
Finite local monodromy of overconvergent unit-root F-isocrystals on a curve
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曲线上过收敛单位根F-等晶的有限局部单峰
DOI：
10.1353/ajm.1998.0052
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发表时间：
1998
影响因子：
1.7
通讯作者：
N. Tsuzuki
中科院分区：
文献类型：
--
作者：
N. Tsuzuki
证明了曲线上具有有限局部单调的正特征p的完美场上的基本群的p进连续表示的范畴等价于曲线上的过收敛单位根F -同晶的范畴。为了证明范畴的等价性，我们研究了局部理论，并将其应用于全局情况。
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.