JournalsjemsVol. 24, No. 4pp. 1189–1283

On the distribution of Cl(K)[l]{Cl}(K)[l^\infty] for degree ll cyclic fields

  • Peter Koymans

    Leiden University, Netherlands
  • Carlo Pagano

    Max Planck Institute for Mathematics, Bonn, Germany
On the distribution of ${Cl}(K)[l^\infty]$ for degree $l$ cyclic fields cover
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Abstract

Using a recent breakthrough of Smith [22], we prove that ll^\infty-class groups of cyclic degree ll fields have the distribution conjectured by Gerth under GRH.

Cite this article

Peter Koymans, Carlo Pagano, On the distribution of Cl(K)[l]{Cl}(K)[l^\infty] for degree ll cyclic fields. J. Eur. Math. Soc. 24 (2022), no. 4, pp. 1189–1283

DOI 10.4171/JEMS/1112