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- W4297940650 abstract "The main purpose of the paper is to formulate a probabilistic model for Arakelov class groups in families of number fields, offering a correction to the Cohen--Lenstra--Martinet heuristic on ideal class groups. To that end, we show that Chinburg's Omega(3) conjecture implies tight restrictions on the Galois module structure of oriented Arakelov class groups. As a consequence, we construct a new infinite series of counterexamples to the Cohen--Lenstra--Martinet heuristic, which have the novel feature that their Galois groups are non-abelian." @default.
- W4297940650 created "2022-10-01" @default.
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- W4297940650 date "2020-05-23" @default.
- W4297940650 modified "2023-09-29" @default.
- W4297940650 title "Arakelov class groups of random number fields" @default.
- W4297940650 doi "https://doi.org/10.48550/arxiv.2005.11533" @default.
- W4297940650 hasPublicationYear "2020" @default.
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