Adelically summable normalized weights and adelic equidistribution of effective divisors having small diagonals and small heights on the Berkovich projective lines (Algebraic Number Theory and Related Topics 2014)

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Description

We introduce the notion of an adelically summable normalized weight g, which is a family of normalized weights on the Berkovich projective lines satisfying a summability condition. We then establish an adelic equidistribution of effective k-divisors on the projective line over the separable closure ks in k of a product formula field k having small g-heights and small diagonals. This equidistribution result generalizes Ye's for the Galois conjugacy classes of algebraic numbers with respect to quasi-adelic measures.

Journal

  • RIMS Kokyuroku Bessatsu

    RIMS Kokyuroku Bessatsu B64 55-66, 2017-05

    Research Institute for Mathematical Sciences, Kyoto University

Keywords

Details 詳細情報について

  • CRID
    1050001338460546304
  • NII Article ID
    120006715387
  • NII Book ID
    AA12196120
  • ISSN
    18816193
  • HANDLE
    2433/243660
  • Text Lang
    en
  • Article Type
    departmental bulletin paper
  • Data Source
    • IRDB
    • CiNii Articles

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