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  On class groups of random number fields

Bartel, A., & Lenstra, H. W. (2020). On class groups of random number fields. Proceedings of the London Mathematical Society, 121(4), 927-953. doi:10.1112/plms.12343.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0006-95B4-6 Version Permalink: https://hdl.handle.net/21.11116/0000-000A-2438-F
Genre: Journal Article

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Bartel-Lenstra_On class groups of random number fields_2020.pdf (Publisher version), 412KB
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C 2020 The Authors. The Proceedings of the London Mathematical Society is copyright C London Mathematical Society. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
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https://doi.org/10.1112/plms.12343 (Publisher version)
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 Creators:
Bartel, Alex1, Author           
Lenstra, Hendrik W.1, Author           
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Number Theory
 Abstract: The main aim of the present paper is to disprove the Cohen-Lenstra-Martinet
heuristics in two different ways and to offer possible corrections. We also
recast the heuristics in terms of Arakelov class groups, giving an explanation
for the probability weights appearing in the general form of the heuristics. We
conclude by proposing a rigorously formulated Cohen-Lenstra-Martinet
conjecture.

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Language(s): eng - English
 Dates: 2020
 Publication Status: Issued
 Pages: 27
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1803.06903
DOI: 10.1112/plms.12343
URI: http://arxiv.org/abs/1803.06903
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Title: Proceedings of the London Mathematical Society
  Abbreviation : Proc. Lond. Math. Soc.
Source Genre: Journal
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Publ. Info: Wiley-Blackwell
Pages: - Volume / Issue: 121 (4) Sequence Number: - Start / End Page: 927 - 953 Identifier: -