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タイトル: | Pro-p and cohomological aspects of anabelian geometry of hyperbolic polycurves (Algebraic Number Theory and Related Topics 2016) |
著者: | Sawada, Koichiro |
著者名の別形: | 澤田, 晃一郎 |
キーワード: | 14H30 14H10 14H25 20J06 hyperbolic polycurve anabelian geometry pro-p Grothendieck conjecture profinite group cohomology |
発行日: | Apr-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: | B77 |
開始ページ: | 191 |
終了ページ: | 202 |
抄録: | In this article, we study the étale fundamental groups of hyperbolic polycurves, i.e., successive extensions of families of hyperbolic curves. Among others, we show that the isomorphism class of a hyperbolic polycurve of dimension ≤ 4 defined over a sub-p-adic field is completely determined by its geometrically pro-p fundamental group under a certain group-theoretic condition. Moreover, we show that the dimension of a hyperbolic polycurve over a field of characteristic zero can be reconstructed group-theoretically from its geometric fundamental group. This article is based on author's works [11], [12]. |
記述: | "Algebraic Number Theory and Related Topics 2016". November 28 - December 2, 2016. edited by Yasuo Ohno, Hiroshi Tsunogai and Toshiro Hiranouchi. 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/2433/260618 |
出現コレクション: | B77 Algebraic Number Theory and Related Topics 2016 |
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