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arXiv · 1111.1981

Graded and Filtered Fiber Functors on Tannakian Categories

Paul Ziegler
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Abstract

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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Paul Ziegler. 2015-08-05. Graded and Filtered Fiber Functors on Tannakian Categories. https://doi.org/10.1017/s1474748013000376

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