References & Citations
Mathematics > Number Theory
Title: Galois module structure of oriented Arakelov class groups
(Submitted on 23 May 2020 (this version), latest version 27 Mar 2024 (v3))
Abstract: We show that Chinburg's Omega(3) conjecture implies tight restrictions on the Galois module structure of oriented Arakelov class groups of number fields. We apply our findings to formulating a probabilistic model for Arakelov class groups in families, offering a correction of the Cohen--Lenstra--Martinet heuristics on ideal class groups.
Submission history
From: Alex Bartel [view email][v1] Sat, 23 May 2020 13:16:12 GMT (18kb)
[v2] Tue, 27 Sep 2022 13:07:17 GMT (31kb)
[v3] Wed, 27 Mar 2024 16:43:37 GMT (26kb)
Link back to: arXiv, form interface, contact.