Graded and Filtered Fiber Functors on Tannakian Categories

Details Graded and Filtered Fiber Functors on Tannakian Categories Graded and Filtered Fiber Functors on Tannakian Categories

2011-11-08

arxiv.org/abs/1111.1981v1

Mathematics

Algebraic Geometry

Scientific paper

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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