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| 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 |
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