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Graded and filtered fiber functors on Tannakian categories

Paul Ziegler

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Source: Crossref

Published: Dec 20, 2013

DOI: 10.1017/s1474748013000376

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Source abstract

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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