The Gauss higher relative class number problem

2008/06/02 by John Voight, Voight, John
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #K-Theory and Homology (math.KT) #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.0806.0306

openalex publication_date 2008/06/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Assuming the 2-adic Iwasawa main conjecture, we find all CM fields with higher relative class number at most 16: there are at least 31 and at most 34 such fields, and exactly one is not abelian.

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