このアイテムのアクセス数: 168
このアイテムのファイル:
| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B83-17.pdf | 139.67 kB | Adobe PDF | 見る/開く |
| タイトル: | Geometric Version of the Grothendieck Conjecture for Universal Curves over Hurwitz Stacks: a research announcement (Algebraic Number Theory and Related Topics 2017) |
| 著者: | Tsujimura, Shota |
| 著者名の別形: | 辻村, 昇太 |
| キーワード: | 14H30 14H10 anabelian geometry Hurwitz stack universal curve |
| 発行日: | Oct-2020 |
| 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: | B83 |
| 開始ページ: | 217 |
| 終了ページ: | 233 |
| 抄録: | Hurwitz stacks are algebraic stacks that parametrize simple coverings. In this paper, we introduce a certain geometric version of the Grothendieck Conjecture for universal curves over Hurwitz stacks. This result generalizes a similar result obtained by Hoshi and Mochizuki in the case of universal curves over moduli stacks of pointed smooth curves. After introducing these results, we give a sketch of the proof of the above version of the Grothendieck Conjecture in the hyperelliptic case. |
| 記述: | Algebraic Number Theory and Related Topics 2017. December 4-8, 2017. edited by Hiroshi Tsunogai, Takao Yamazaki and Yasushi Mizusawa. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
| 著作権等: | © 2020 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
| URI: | http://hdl.handle.net/2433/260701 |
| 出現コレクション: | B83 Algebraic Number Theory and Related Topics 2017 |
このリポジトリに保管されているアイテムはすべて著作権により保護されています。