Arithmetic and Differential Swan Conductors of rank one representations with finite local monodromy
| dc.creator | Chiarellotto, Bruno | |
| dc.creator | Pulita, Andrea | |
| dc.date | 2007-11-05 | |
| dc.date | 2008-08-04 | |
| dc.date.accessioned | 2026-07-07T09:54:07Z | |
| dc.date.available | 2026-07-07T09:54:07Z | |
| dc.description | We consider a complete discrete valuation field of characteristic p, with possibly non perfect residue field. Let V be a rank one continuous representation with finite local monodromy of its absolute Galois group. We will prove that the Arithmetic Swan conductor of V (defined after Kato in [Kat89] which fits in the more general theory of [AS02] and [AS06]) coincides with the Differential Swan conductor of the associated differential module $D^†(V)$ defined by Kedlaya in [Ked]. This construction is a generalization to the non perfect residue case of the Fontaine's formalism as presented in [Tsu98a]. Our method of proof will allow us to give a new interpretation of the Refined Swan Conductor. | |
| dc.description | 38 pages | |
| dc.identifier | https://arxiv.org/abs/0711.0701 | |
| dc.identifier | http://arxiv.org/abs/0711.0701 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/166201 | |
| dc.subject | Number Theory | |
| dc.subject | 12h25; 11S15; 11S20; 14F30 | |
| dc.title | Arithmetic and Differential Swan Conductors of rank one representations with finite local monodromy | |
| dc.type | text |