Journal article
A $p$ -adic nonabelian criterion for good reduction of curves
- Abstract:
- Let K be a complete discrete valuation field of characteristic 0, with valuation ring OK and perfect residue field k of positive characteristic p. We prove that a proper and smooth curve over K, admitting a semistable model over OK, has good reduction if and only if its unipotent p-adic étale fundamental group is crystalline.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Accepted manuscript, pdf, 322.0KB, Terms of use)
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- Publisher copy:
- 10.1215/00127094-3146817
Authors
- Publisher:
- Duke University Press
- Journal:
- Duke Mathematical Journal More from this journal
- Volume:
- 164
- Issue:
- 13
- Pages:
- 2597-2642
- Publication date:
- 2015-10-01
- DOI:
- ISSN:
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0012-7094
- Keywords:
- Pubs id:
-
pubs:572949
- UUID:
-
uuid:7d2bc19f-dd30-4a4e-b39e-57bd35de0404
- Local pid:
-
pubs:572949
- Source identifiers:
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572949
- Deposit date:
-
2017-01-06
- ARK identifier:
Terms of use
- Copyright holder:
- Project Euclid
- Copyright date:
- 2015
- Notes:
- Vol. 164, No. 13, © 2015. This is the accepted manuscript version of the article. The final version is available online from Duke University Press at: 10.1215/00127094-3146817
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