Semistable reduction for overconvergent F-isocrystals, I: Unipotence and logarithmic extensions
| dc.creator | Kedlaya, Kiran S. | |
| dc.date | 2004-05-05 | |
| dc.date | 2007-01-20 | |
| dc.date.accessioned | 2026-07-07T07:41:47Z | |
| dc.date.available | 2026-07-07T07:41:47Z | |
| dc.description | Let X be a smooth variety over a field of positive characteristic, and let E be an overconvergent isocrystal on X. We establish a criterion for the existence of a "canonical logarithmic extension" of E to a good compactification of X. In the process, we construct a category of overconvergent log-isocrystals and discuss its basic properties. In subsequent work, we will use these results to show that a canonical logarithmic extension always exists after pulling back E along a suitable cover of X. | |
| dc.description | 62 pages; v5: final refereed version; some corrected proofs in Section 3 | |
| dc.identifier | https://arxiv.org/abs/math/0405069 | |
| dc.identifier | http://arxiv.org/abs/math/0405069 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/122242 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14F30; 14F40 | |
| dc.title | Semistable reduction for overconvergent F-isocrystals, I: Unipotence and logarithmic extensions | |
| dc.type | text |