Index-modules and applications

Details Index-modules and applications Index-modules and applications

2011-03-04

arxiv.org/abs/1103.0902v1

Mathematics

Number Theory

15 pages, to appear in manuscripta mathematica

Scientific paper

We define the notion of index-module for a couple of A-lattices in a vector
space, A being a Dedekind ring. We apply this notion to prove by elementary
means that a weak Gras conjecture (i.e for irreducible nontrivial Q-characters)
holds for a suitable group of Stark units in global function fields.

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