Abelian Conjectures of Stark Type in Z_p Extensions of Totally Real Fields
| dc.creator | Solomon, David | |
| dc.date | 2003-02-21 | |
| dc.date.accessioned | 2026-07-07T04:55:28Z | |
| dc.date.available | 2026-07-07T04:55:28Z | |
| dc.description | We study the behaviour of the Stark conjecture for an abelian extension K/k of totally real number fields as K varies in a cyclotomic Z_p-tower. We consider possible strengthenings of the natural norm-coherence in the tower of putative solution of the complex conjecture and,especially, the consequences for the analogous p-adic conjecture. More precisely, under two principal assumptions - (i) that these solutions are given by exterior powers of norm-coherent sequences of global (or p-semilocal) units and (ii) that p splits in k - we show how the values of p-adic twisted zeta-functions for K/k are determined at any integer by a group-ring-valued regulator formed from the appropriate Coates-Wiles homomorphisms. | |
| dc.description | 38 pages | |
| dc.identifier | https://arxiv.org/abs/math/0302262 | |
| dc.identifier | http://arxiv.org/abs/math/0302262 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66591 | |
| dc.subject | Number Theory | |
| dc.subject | 11R42, 11R23, 11S40 | |
| dc.title | Abelian Conjectures of Stark Type in Z_p Extensions of Totally Real Fields | |
| dc.type | text |