Generalized logarithmic derivatives for K_n
| dc.creator | Zerbes, Sarah Livia | |
| dc.date | 2006-11-06 | |
| dc.date.accessioned | 2026-07-07T07:32:33Z | |
| dc.date.available | 2026-07-07T07:32:33Z | |
| dc.description | We construct (generalized) logarithmic derivatives for general n-dimensional local fields K of mixed characteristics (0,p) in which p is not necessarily a prime element with residue field k such that [k:k^p]=p^{n-1}. For the construction of the logarithmic derivative map, we define n-dimensional rings of overconvergent series and show that - as in the 1-dimensional case - they can be interpreted as functions converging on some annulus of the open unit p-adic disc. Using the generalized logarithmic derivative, we give a new construction of Kato's n-dimensional dual exponential map. | |
| dc.description | 34 pages | |
| dc.identifier | https://arxiv.org/abs/math/0611136 | |
| dc.identifier | http://arxiv.org/abs/math/0611136 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/119153 | |
| dc.subject | Number Theory | |
| dc.subject | 11S70; 19F99; 11R23 | |
| dc.title | Generalized logarithmic derivatives for K_n | |
| dc.type | text |