An Erdös-Kac law for local solubility in families of varieties

Loughran, Daniel; Sofos, Efthymios

doi:10.1007/s00029-021-00645-2

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An Erdös-Kac law for local solubility in families of varieties

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Sofos, Efthymios
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1007/s00029-021-00645-2
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https://doi.org/10.48550/arXiv.1711.08396
(Preprint)

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Loughran-Sofos_An Erdös-Kac law for local solubility in families of varieties_2021.pdf
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Citation

Loughran, D., & Sofos, E. (2021). An Erdös-Kac law for local solubility in families of varieties. Selecta Mathematica, 27(3): 42. doi:10.1007/s00029-021-00645-2.

Cite as: https://hdl.handle.net/21.11116/0000-0008-B943-C

Abstract

We study probability distributions arising from local obstructions to the
existence of $p$-adic points in families of varieties. In certain cases we show
that an Erd\H{o}s-Kac type law holds.