Classifying Brumer's quintic polynomials by weak Mordell-Weil groups

2008/02/01 by Masanari Kida, Yūichi Rikuna, Kida, Masanari +4 · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #math.NT #msc:11G05 #msc:11R20 #msc:11R32 #msc:12G05

paper · pdf · doi:10.48550/arxiv.0802.0054

10 pages

arxiv created 2008/02/01 · arxiv updated 2009/12/01

Abstract

We develop a general classification theory for Brumer's dihedral quintic polynomials by means of Kummer theory arising from certain elliptic curves. We also give a similar theory for cubic polynomials.

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