Semistable reduction for overconvergent, F-isocrystals, III: Local semistable reduction at monomial valuations
We resolve the local semistable reduction problem for overconvergent F-isocrystals at monomial valuations (Abhyankar valuations of height 1 and residue transcendence degree zero). We first introduce a higher-dimensional analogue of the generic radius of convergence for a p-adic differential modu...
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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Cambridge University Press / Foundation Compositio Mathematica
2011
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| Online Access: | http://hdl.handle.net/1721.1/62306 |
| _version_ | 1811093733651775488 |
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| author | Kedlaya, Kiran S. |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Kedlaya, Kiran S. |
| author_sort | Kedlaya, Kiran S. |
| collection | MIT |
| description | We resolve the local semistable reduction problem for overconvergent F-isocrystals
at monomial valuations (Abhyankar valuations of height 1 and residue transcendence
degree zero). We first introduce a higher-dimensional analogue of the generic radius of
convergence for a p-adic differential module, which obeys a convexity property. We then
combine this convexity property with a form of the p-adic local monodromy theorem
for so-called fake annuli. |
| first_indexed | 2024-09-23T15:49:46Z |
| format | Article |
| id | mit-1721.1/62306 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T15:49:46Z |
| publishDate | 2011 |
| publisher | Cambridge University Press / Foundation Compositio Mathematica |
| record_format | dspace |
| spelling | mit-1721.1/623062022-09-29T16:23:48Z Semistable reduction for overconvergent, F-isocrystals, III: Local semistable reduction at monomial valuations Kedlaya, Kiran S. Massachusetts Institute of Technology. Department of Mathematics Kedlaya, Kiran S. Kedlaya, Kiran S. We resolve the local semistable reduction problem for overconvergent F-isocrystals at monomial valuations (Abhyankar valuations of height 1 and residue transcendence degree zero). We first introduce a higher-dimensional analogue of the generic radius of convergence for a p-adic differential module, which obeys a convexity property. We then combine this convexity property with a form of the p-adic local monodromy theorem for so-called fake annuli. National Science Foundation (U.S.) (Grant DMS-0400727) (CAREER grant DMS-0545904) Alfred P. Sloan Foundation 2011-04-22T21:29:00Z 2011-04-22T21:29:00Z 2009-01 2008-06 Article http://purl.org/eprint/type/JournalArticle 0010-437X http://hdl.handle.net/1721.1/62306 Kiran S. Kedlaya (2009). Semistable reduction for overconvergent F-isocrystals, III: Local semistable reduction at monomial valuations. Compositio Mathematica, 145, pp 143-172.© Cambridge University Press 2011 ; © Foundation Compositio Mathematica 2009. en_US http://dx.doi.org/10.1112/S0010437X08003783 Compositio Mathematica Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf Cambridge University Press / Foundation Compositio Mathematica Prof. Kiran Kedlaya |
| spellingShingle | Kedlaya, Kiran S. Semistable reduction for overconvergent, F-isocrystals, III: Local semistable reduction at monomial valuations |
| title | Semistable reduction for overconvergent, F-isocrystals, III: Local semistable reduction at monomial valuations |
| title_full | Semistable reduction for overconvergent, F-isocrystals, III: Local semistable reduction at monomial valuations |
| title_fullStr | Semistable reduction for overconvergent, F-isocrystals, III: Local semistable reduction at monomial valuations |
| title_full_unstemmed | Semistable reduction for overconvergent, F-isocrystals, III: Local semistable reduction at monomial valuations |
| title_short | Semistable reduction for overconvergent, F-isocrystals, III: Local semistable reduction at monomial valuations |
| title_sort | semistable reduction for overconvergent f isocrystals iii local semistable reduction at monomial valuations |
| url | http://hdl.handle.net/1721.1/62306 |
| work_keys_str_mv | AT kedlayakirans semistablereductionforoverconvergentfisocrystalsiiilocalsemistablereductionatmonomialvaluations |