Graded and Filtered Fiber Functors on Tannakian Categories

Published 8 Nov 2011 in math.AG | (1111.1981v4)

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

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