Full faithfulness for overconvergent F-isocrystals
| dc.creator | Kedlaya, Kiran S. | |
| dc.date | 2001-10-11 | |
| dc.date | 2003-06-01 | |
| dc.date.accessioned | 2026-07-07T06:31:13Z | |
| dc.date.available | 2026-07-07T06:31:13Z | |
| dc.description | Let X be a smooth variety over a field of characteristic p>0. We prove that the forgetful functor from the category of overconvergent F-isocrystals on X to the category of convergent F-isocrystals is fully faithful. The argument uses the quasi-unipotence theorem for overconvergent F-isocrystals (recently proved independently by Andre, Mebkhout, and the author; see math.AG/0110124), plus arguments of de Jong. In the process, we establish a theorem of Quillen-Suslin type (i.e., every finite projective module is free) over rings of overconvergent power series. | |
| dc.description | 18 pages; v4: second refereed version, adds overconvergent analogue of Quillen-Suslin. To appear in Geometric Aspects of Dwork's Theory (Dwork trimester proceedings) | |
| dc.identifier | https://arxiv.org/abs/math/0110125 | |
| dc.identifier | http://arxiv.org/abs/math/0110125 | |
| dc.identifier | preprint; published version: in Geometric Aspects of Dwork Theory (Volume II), de Gruyter (Berlin), 2004, 819-835. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98542 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 12H25, 14F30 | |
| dc.title | Full faithfulness for overconvergent F-isocrystals | |
| dc.type | text |