An Erdős–Kac law for local solubility in families of varieties

• D. Loughran ^[1] ; E. Sofos ^[2]
  1. [1] University of Bath

     University of Bath

     Reino Unido

     
  2. [2] University of Glasgow

     University of Glasgow

     Reino Unido

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 27, Nº. 3, 2021
• Idioma: inglés
• DOI: 10.1007/s00029-021-00645-2
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• Resumen

  • 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 Erdős–Kac type normal distribution law holds.