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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B64-08.pdf | 5.58 MB | Adobe PDF | 見る/開く |
| タイトル: | Stark's conjecture over the rational number field and CM-periods of Fermat curves (Algebraic Number Theory and Related Topics 2014) |
| 著者: | Kashio, Tomokazu |
| 著者名の別形: | 加塩, 朋和 |
| キーワード: | 11M06 11M35 11R27 11R42 11S80 14H45 Stark's conjecture cyclotomic units (p-adic) gamma function (p-adic) beta function Fermat curves CM-periods p-adic periods |
| 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: | 93 |
| 終了ページ: | 106 |
| 抄録: | This is an announcement of the results of the paper "Fermat curves and the reciprocity law on cyclotomic units" (arXiv:1502.04397). We will define a "period-ring-valued beta function" and give a reciprocity law on its special values, by using some results on Fermat curves due to Rohrlich and Coleman. Here the "period-ring" is in the sense of p-adic Hodge theory. As an application, we will discuss its relation with Stark's conjecture over the rational number field. In particular, we see that the reciprocity law given in this paper is a refinement of the reciprocity law on cyclotomic units. |
| 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/2433/243664 |
| 出現コレクション: | B64 Algebraic Number Theory and Related Topics 2014 |
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