Frobenius modules and de Jong's theorem
| dc.creator | Kedlaya, Kiran S. | |
| dc.date | 2004-02-26 | |
| dc.date | 2004-12-12 | |
| dc.date.accessioned | 2026-07-07T06:31:14Z | |
| dc.date.available | 2026-07-07T06:31:14Z | |
| dc.description | Let k be a field of characteristic p>0. A theorem of de Jong shows that morphisms of modules over W(k)[[t]] with Frobenius and connection structure descend from the completion of W(k)((t)). A careful reading of de Jong's proof suggests the possibility that an analogous theorem holds for modules with only a Frobenius structure. We show that this analogue holds in one weak formulation and fails in a second stronger formulation. | |
| dc.description | 18 pages; v2: corrected errors in Proposition 4.3 and Lemma 5.4; to appear in Math. Res. Lett | |
| dc.identifier | https://arxiv.org/abs/math/0402420 | |
| dc.identifier | http://arxiv.org/abs/math/0402420 | |
| dc.identifier | preprint; published version: Math. Res. Lett. 12 (2005), 303-320. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98546 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Rings and Algebras | |
| dc.subject | 14F30; 13K05 | |
| dc.title | Frobenius modules and de Jong's theorem | |
| dc.type | text |