Swan conductors for p-adic differential modules, II: Global variation
| dc.creator | Kedlaya, Kiran S. | |
| dc.date | 2007-05-01 | |
| dc.date | 2008-11-24 | |
| dc.date.accessioned | 2026-07-07T10:19:54Z | |
| dc.date.available | 2026-07-07T10:19:54Z | |
| dc.description | Using a local construction from a previous paper, we exhibit a numerical invariant, the differential Swan conductor, for an isocrystal on a variety over a perfect field of positive characteristic overconvergent along a boundary divisor; this leads to an analogous construction for certain p-adic and l-adic representations of the etale fundamental group of a variety. We then demonstrate some variational properties of this definition for overconvergent isocrystals, paying special attention to the case of surfaces. | |
| dc.description | 34 pages; v3: major revisions in 3.4, 4.3, 5.x; minor changes elsewhere | |
| dc.identifier | https://arxiv.org/abs/0705.0031 | |
| dc.identifier | http://arxiv.org/abs/0705.0031 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/174681 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 11S15 | |
| dc.title | Swan conductors for p-adic differential modules, II: Global variation | |
| dc.type | text |