Hasse principle for character group of finitely generated field over the\n rational number field

2012/10/16 by Makoto Sakagaito, Sakagaito, Makoto
Mathematics · #Algebraic Geometry and Number Theory #Homotopy and Cohomology in Algebraic Topology #Advanced Topology and Set Theory

paper · pdf · doi:10.48550/arxiv.1210.4449

Abstract

In this paper, we show the Hasse principle for the character group of a\nfinitely generated field over the rational number field. By applying this\nresult, we obtain an algebraic proof of unramified class field theory of\narithmetical schemes.\n

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