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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説明

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.

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詳細情報 詳細情報について

  • CRID
    1050001338460546304
  • NII論文ID
    120006715387
  • NII書誌ID
    AA12196120
  • ISSN
    18816193
  • HANDLE
    2433/243660
  • 本文言語コード
    en
  • 資料種別
    departmental bulletin paper
  • データソース種別
    • IRDB
    • CiNii Articles

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