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タイトル: | 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) |
著者: | Okuyama, Yûsuke |
著者名の別形: | 奥山, 裕介 |
キーワード: | 37P30 11G50 37P50 37F10 product formula field adelically summable normalized weight effective divisor small diagonals small heights asymptotically Fekete configuration adelic equidistribution |
発行日: | May-2017 |
出版者: | Research Institute for Mathematical Sciences, Kyoto University |
誌名: | 数理解析研究所講究録別冊 |
巻: | B64 |
開始ページ: | 55 |
終了ページ: | 66 |
抄録: | 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. |
記述: | "Algebraic Number Theory and Related Topics 2014". December 1~5, 2014. edited by Takeshi Tsuji, Hiroki Takahashi and Yuichiro Hoshi. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
著作権等: | © 2017 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
URI: | http://hdl.handle.net/2433/243660 |
出現コレクション: | B64 Algebraic Number Theory and Related Topics 2014 |
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