Drinfeld's lemma for F-isocrystals, II: Tannakian approach

被引：1
|
作者：
Kedlaya, Kiran S. [1 ]
Xu, Daxin [2 ,3 ]
机构：
[1] Univ Calif San Diego, Dept Math, La Jolla, CA 92093 USA
[2] Chinese Acad Sci, Acad Math & Syst Sci, Morningside Ctr Math, Beijing 100190, Peoples R China
[3] Chinese Acad Sci, Acad Math & Syst Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China
来源：
COMPOSITIO MATHEMATICA | 2023年 / 160卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Drinfeld's lemma; overconvergent isocrystals; p-adic cohomology;
D O I：
10.1112/S0010437X23007571
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove a Tannakian form of Drinfeld's lemma for isocrystals on a variety over a finite field, equipped with actions of partial Frobenius operators. This provides an intermediate step towards transferring V. Lafforgue's work on the Langlands correspondence over function fields from l-adic to p-adic coefficients. We also discuss a motivic variant and a local variant of Drinfeld's lemma.
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页码：90 / 119
页数：31
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