A p-adic local monodromy theorem
| dc.creator | Kedlaya, Kiran S. | |
| dc.date | 2001-10-11 | |
| dc.date | 2003-01-01 | |
| dc.date.accessioned | 2026-07-07T06:31:12Z | |
| dc.date.available | 2026-07-07T06:31:12Z | |
| dc.description | We produce a canonical filtration for locally free sheaves on an open p-adic annulus equipped with a Frobenius structure. Using this filtration, we deduce a conjecture of Crew on p-adic differential equations, analogous to Grothendieck's local monodromy theorem (also a consequence of results of Andre and of Mebkhout). Namely, given a finite locally free sheaf on an open p-adic annulus with a connection and a compatible Frobenius structure, the corresponding module admits a basis over a finite cover of the annulus on which the connection acts via a nilpotent matrix. Note: this preprint improves on results from our previous preprints math.AG/0102173, math.AG/0105244, math.AG/0106192, math.AG/0106193 but does not explicitly invoke any results from these preprints. | |
| dc.description | 85 pages, LaTeX2e; v2: sections 3.3, 3.4 edited to remove an error; v3: new section 2 inserted, many details added; v4 (version for publication): introduction expanded, small errors fixed. To appear in Annals of Mathematics | |
| dc.identifier | https://arxiv.org/abs/math/0110124 | |
| dc.identifier | http://arxiv.org/abs/math/0110124 | |
| dc.identifier | preprint; published version: Annals of Math. 160 (2004), 93-184 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98541 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 12H25, 14F30 | |
| dc.title | A p-adic local monodromy theorem | |
| dc.type | text |