A combinatorial version of the Grothendieck conjecture

被引:28
作者
Mochizuki, Shinichi [1 ]
机构
[1] Kyoto Univ, Math Sci Res Inst, Kyoto 6068502, Japan
关键词
D O I
10.2748/tmj/1192117988
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study the "combinatorial anabelian geometry" that governs the relationship between the dual semi-graph of a pointed stable curve and various associated profinite fundamental groups of the pointed stable curve. Although many results of this type have been obtained previously in various particular situations of interest under unnecessarily strong hypotheses, the goal of the present paper is to step back from such "typical situations of interest" and instead to consider this topic in the abstract-a point of view which allows one to prove results of this type in much greater generality under very weak hypotheses.
引用
收藏
页码:455 / 479
页数:25
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