The syntomic regulator for K-theory of fields
| dc.creator | Besser, Amnon | |
| dc.creator | de Jeu, Rob | |
| dc.date | 2001-10-31 | |
| dc.date | 2001-12-15 | |
| dc.date.accessioned | 2026-07-07T04:44:10Z | |
| dc.date.available | 2026-07-07T04:44:10Z | |
| dc.description | We define complexes analogous to Goncharov's complexes for the K-theory of discrete valuation rings of characteristic zero. Under suitable assumptions in K-theory, there is a map from the cohomology of those complexes to the K-theory of the ring. In case the ring is the localization of the ring of integers in a number field, there are no assumptions necessary. We compute the composition of our map to the K-theory with the syntomic regulator. The result can be described in terms of a p-adic polylogarithm. Finally, we apply our theory in order to compute the regulator to syntomic cohomology on Beilinson's cyclotomic elements. The result is again given by the p-adic polylogarithm. This last result is related to one by Somekawa and generalizes work by Gros. | |
| dc.description | 53 pages, latex2e with amsart class, xypic, minor changes | |
| dc.identifier | https://arxiv.org/abs/math/0110334 | |
| dc.identifier | http://arxiv.org/abs/math/0110334 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62529 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | K-Theory and Homology | |
| dc.subject | Number Theory | |
| dc.subject | 11G55, 11S70, 19F27 (Primary) 11S80, 14F30 (Secondary) | |
| dc.title | The syntomic regulator for K-theory of fields | |
| dc.type | text |