| 书目名称 | Topics Surrounding the Combinatorial Anabelian Geometry of Hyperbolic Curves II |
| 副标题 | Tripods and Combinat |
| 编辑 | Yuichiro Hoshi,Shinichi Mochizuki |
| 视频video | |
| 概述 | The theory sheds new light on the Grothendieck-Teichmüller group and arithmetic absolute Galois groups.The theory developed in the monograph has important applications to the study of such groups.The |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | The present monograph further develops the study, via the techniques of combinatorial anabelian geometry, of the profinite fundamental groups of .configuration spaces. associated to .hyperbolic curves. over algebraically closed fields of characteristic zero..The starting point of the theory of the present monograph is a .combinatorial anabelian. result which allows one to reduce issues concerning the anabelian geometry of configuration spaces to issues concerning the anabelian geometry of hyperbolic curves, as well as to give .purely group-theoretic characterizations. of the .cuspidal inertia subgroups. of one-dimensional subquotients of the profinite fundamental group of a configuration space..We then turn to the study of .tripod synchronization., i.e., of the phenomenon that an outer automorphism of the profinite fundamental group of a log configuration space associated to a stable log curve inducesthe .same. outer automorphism on certain subquotients of such a fundamental group determined by .tripods. [i.e., copies of the projective line minus three points]. The theory of tripod synchronization shows that such outer automorphisms exhibit somewhat different behavior from the beha |
| 出版日期 | Book 2022 |
| 关键词 | combinatorial anabelian geometry; combinatorial cuspidalization; tripod synchronization; Grothendieck-T |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-981-19-1096-8 |
| isbn_softcover | 978-981-19-1095-1 |
| isbn_ebook | 978-981-19-1096-8Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor |
发表于 2025-3-21 18:14:28
