• Corpus ID: 245926768

GROUP-THEORETICITY OF NUMERICAL INVARIANTS AND DISTINGUISHED SUBGROUPS OF CONFIGURATION SPACE GROUPS

@inproceedings{Hoshi2021GROUPTHEORETICITYON,
  title={GROUP-THEORETICITY OF NUMERICAL INVARIANTS AND DISTINGUISHED SUBGROUPS OF CONFIGURATION SPACE GROUPS},
  author={Yuichiro Hoshi and Arata Minamide and Shinichi Mochizuki},
  year={2021}
}
Let Σ be a set of prime numbers which is either of cardinality one or equal to the set of all prime numbers. In this paper, we prove that various objects that arise from the geometry of the configuration space of a hyperbolic curve over an algebraically closed field of characteristic zero may be reconstructed group-theoretically from the pro-Σ fundamental group of the configuration space. Let X be a hyperbolic curve of type (g, r) over a field k of characteristic zero. Thus, X is obtained by… 
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