2015/08/19 by Saikat Biswas, Biswas, Saikat
Mathematics · #Algebraic Geometry and Number Theory #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #math.NT #msc:11E72
paper · pdf · doi:10.48550/arxiv.1508.04711
This paper has been withdrawn because the main theorem is incorrect
arxiv created 2015/12/15 · arxiv updated 2015/12/16
Let T be an algebraic torus defined over a global field K and split over a finite cyclic extension. In this paper, we determine the Herbrand quotient of the adéle class group of T. Our result can be seen as an extension of the so-called first inequality of global class field theory.