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Class Numbers of CM-Fields with Solvable Normal Closure

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Compositio Mathematica

Abstract

Stark conjectured that given a positive integer h, there are only a finite number of CM-fields L with class number equal to h. We prove this conjecture for fields L of degree ≥6 whose normal closure is solvable.

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Authors and Affiliations

  1. Department of Mathematics, University of Toronto, 100 St. George Street, Toronto, ON, M5S 3G3, Canada

    V. Kumar Murty

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  1. V. Kumar Murty
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Murty, V.K. Class Numbers of CM-Fields with Solvable Normal Closure. Compositio Mathematica 127, 273–288 (2001). https://doi.org/10.1023/A:1017589432526

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