GRADED AND FILTERED FIBER FUNCTORS ON TANNAKIAN CATEGORIES

被引：9
|
作者：
Ziegler, Paul [1 ]
机构：
[1] ETH, Dept Math, CH-8092 Zurich, Switzerland
来源：
JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU | 2015年 / 14卷 / 01期
基金：
瑞士国家科学基金会;
关键词：
tannakian categories; fiber functors;
D O I：
10.1017/S1474748013000376
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study fiber functors on Tannakian categories which are equipped with a grading or a filtration. Our goal is to give a comprehensive set of foundational results about such functors. A main result is that each filtration on a fiber functor can be split by a grading fpqc-locally on the base scheme.
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页码：87 / 130
页数：44
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