Phi-modules and coefficient spaces
| dc.creator | Pappas, G. | |
| dc.creator | Rapoport, M. | |
| dc.date | 2008-11-07 | |
| dc.date.accessioned | 2026-07-07T10:16:51Z | |
| dc.date.available | 2026-07-07T10:16:51Z | |
| dc.description | We define and study certain moduli stacks of modules equipped with a Frobenius semi-linear endomorphism. These stacks can be thought of as parametrizing the coefficients of a variable Galois representation and are global variants of the spaces of Kisin-Breuil $Φ$-modules used by Kisin in his study of deformation spaces of local Galois representations. We also define a version of a rigid analytic period map for these spaces, we show how their local structure can be described in terms of "local models", and we show how Bruhat-Tits buildings can be used to study their special fibers. | |
| dc.description | 41 pages | |
| dc.identifier | https://arxiv.org/abs/0811.1170 | |
| dc.identifier | http://arxiv.org/abs/0811.1170 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/173655 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Number Theory | |
| dc.title | Phi-modules and coefficient spaces | |
| dc.type | text |