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Graded and Filtered Fiber Functors on Tannakian Categories (1111.1981v4)
Published 8 Nov 2011 in math.AG
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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