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Graded and filtered fiber functors on Tannakian categories

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.
Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted Manuscript

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Publisher copy:
10.1017/S1474748013000376

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Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Role:
Author
Publisher:
Cambridge University Press Publisher's website
Journal:
Journal of the Institute of Mathematics of Jussieu Journal website
Volume:
14
Issue:
01
Pages:
87-130
Publication date:
2013-12-20
Acceptance date:
2013-11-26
DOI:
EISSN:
1475-3030
ISSN:
1474-7480
Pubs id:
pubs:944060
URN:
uri:d0a23e3a-3c1e-43d2-ae2d-38110cb51299
UUID:
uuid:d0a23e3a-3c1e-43d2-ae2d-38110cb51299
Local pid:
pubs:944060

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