Semistable reduction for overconvergent F-isocrystals on a curve
| dc.creator | Kedlaya, Kiran S. | |
| dc.date | 2002-02-23 | |
| dc.date | 2003-05-24 | |
| dc.date.accessioned | 2026-07-07T06:31:13Z | |
| dc.date.available | 2026-07-07T06:31:13Z | |
| dc.description | Given a smooth affine curve X over a field k of positive characteristic, and an overconvergent F-isocrystal on X, we prove after replacing k by a finite purely inseparable extension, there exists a finite separable cover of X, the pullback of the isocrystal along which extends to a log-F-isocrystal on a smooth compactification. This resolves a weak form of the global version of a conjecture of Crew; the proof uses the local version of the conjecture, established separately by Andre, Mebkhout and the author. | |
| dc.description | 9 pages; v3: final journal version. To appear in Mathematical Research Letters | |
| dc.identifier | https://arxiv.org/abs/math/0202247 | |
| dc.identifier | http://arxiv.org/abs/math/0202247 | |
| dc.identifier | preprint; published version: Math. Res. Lett. 10 (2003), 151-159. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98543 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 12H25, 14F30 | |
| dc.title | Semistable reduction for overconvergent F-isocrystals on a curve | |
| dc.type | text |