2003/02/21 by David Solomon, Solomon, David
Mathematics · #11R23 #11R42 #11S40 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT) #math.NT #msc:11R23 #msc:11R42 #msc:11S40
paper · pdf · doi:10.48550/arxiv.math/0302262
38 pages
arxiv created 2003/02/21 · openalex publication_date 2003/02/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 Zp-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.