Journal article

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

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APA Style

Ziegler, P. (2013). Graded and filtered fiber functors on Tannakian categories. Journal of the Institute of Mathematics of Jussieu, 14(01), 87–130.

MLA Style

Ziegler, P. “Graded and Filtered Fiber Functors on Tannakian Categories.” Journal of the Institute of Mathematics of Jussieu, vol. 14, no. 01, Cambridge University Press, 2013, pp. 87–130.

Chicago Style

Ziegler, P. 2013. “Graded and Filtered Fiber Functors on Tannakian Categories.” Journal of the Institute of Mathematics of Jussieu 14 (01): 87–130.
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Files:: 1111.1981 FFF.pdf

(Preview, Accepted manuscript, pdf, 515.7KB, Terms of use)

Publisher copy:: 10.1017/S1474748013000376

Authors

+ Ziegler, P More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

Publisher:: Cambridge University Press
Journal:: Journal of the Institute of Mathematics of Jussieu More from this journal
Volume:: 14
Issue:: 01
Pages:: 87-130
Publication date:: 2013-12-20
Acceptance date:: 2013-11-26
DOI:: 10.1017/S1474748013000376
EISSN:: 1475-3030
ISSN:: 1474-7480

Keywords:: tannakian categories

fiber functors

SBTMR
Pubs id:: pubs:944060
UUID:: uuid:d0a23e3a-3c1e-43d2-ae2d-38110cb51299
Local pid:: pubs:944060
Source identifiers:: 944060
Deposit date:: 2018-11-19

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Copyright holder:: Cambridge University Press
Copyright date:: 2013
Notes:: © Cambridge University Press 2013. This is the accepted manuscript version of the article. The final version is available online from Cambridge University Press at: https://doi.org/10.1017/S1474748013000376

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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