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タイトル: | Algorithmic approach to Uchida's theorem for one-dimensional function fields over finite fields (Inter-universal Teichmüller Theory Summit 2016) |
著者: | Sawada, Koichiro |
著者名の別形: | サワダ, コウイチロウ |
キーワード: | 11R32 Uchida's theorem mono-anabelian reconstruction one-dimensional function fields over finite fields |
発行日: | Jan-2021 |
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: | B84 |
開始ページ: | 1 |
終了ページ: | 21 |
抄録: | Uchida proved that the isomorphism class of a one-dimensional function field over a finite field is completely determined by (a suitable quotient of) its absolute Galois group. But his proof of this theorem essentially gives a group-theoretic reconstruction algorithm for onedimensional function fields over finite fields. In this article, we discuss the group-theoretic reconstruction algorithm. |
記述: | Inter-universal Teichmüller Theory Summit 2016. July 18-27, 2016. edited by Yuichiro Hoshi and Shinichi Mochizuki. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
著作権等: | © 2021 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
URI: | http://hdl.handle.net/2433/261736 |
出現コレクション: | B84 Inter-universal Teichmüller Theory Summit 2016 |
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