Abstract
Under the C-admissible condition, Hoshi and Mochizuki proved a geometric version of the Grothendieck conjecture for the geometric outer monodromy representation associated to the configuration space of a hyperbolic curve. In the present paper, under conditions concerning the number of cusps of the hyperbolic curve and the dimension of the configuration space, we remove the C-admissible condition from the result of Hoshi and Mochizuki.
Acknowledgment
The author would like to thank Yuichiro Hoshi for explaining to him the arguments used in the proof of Theorem 3.4. The author was supported by JSPS KAKENHI Grant Number 20K14290.
Citation
Yu IIJIMA. "On a geometric version of the Grothendieck conjecture for configuration spaces of hyperbolic curves." Hokkaido Math. J. 53 (3) 531 - 548, October 2024. https://doi.org/10.14492/hokmj/2023-724
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