Topics Surrounding the Combinatorial Anabelian Geometry of Hyperbolic Curves II
Tripods and Combinatorial Cuspidalization
Lecture Notes in Mathematics
- Format: Pocket
- Antall sider: 150
- Språk: Engelsk
- Forlag/Utgiver: SD Books
- Serienavn: Lecture Notes in Mathematics
- EAN: 9789811910951
- Utgivelsesår: 2022
- Bidragsyter: Hoshi, Yuichiro; Mochizuki, Shinichi
649,-
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 induces
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