Slope filtrations for relative Frobenius
| dc.creator | Kedlaya, Kiran S. | |
| dc.date | 2006-09-10 | |
| dc.date | 2007-09-06 | |
| dc.date.accessioned | 2026-07-07T08:27:50Z | |
| dc.date.available | 2026-07-07T08:27:50Z | |
| dc.description | The slope filtration theorem gives a partial analogue of the eigenspace decomposition of a linear transformation, for a Frobenius-semilinear endomorphism of a finite free module over the Robba ring (the ring of germs of rigid analytic functions on an unspecified open annulus of outer radius 1) over a discretely valued field. In this paper, we give a third-generation proof of this theorem, which both introduces some new simplifications (particularly the use of faithfully flat descent, to recover the theorem from a classification theorem of Dieudonne-Manin type) and extends the result to allow an arbitrary action on coefficients (previously the action on coefficients had to itself be a lift of an absolute Frobenius). This extension is relevant to a study of (phi, Gamma)-modules associated to families of p-adic Galois representations, presently being initiated by Berger and Colmez. | |
| dc.description | 40 pages; v2: refereed version, minor changes | |
| dc.identifier | https://arxiv.org/abs/math/0609272 | |
| dc.identifier | http://arxiv.org/abs/math/0609272 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/137406 | |
| dc.subject | Number Theory | |
| dc.subject | 14F30 | |
| dc.title | Slope filtrations for relative Frobenius | |
| dc.type | text |