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.

引用

页码：90 / 119

页数：31

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