Remarks on rational points of universal curves

Watanabe, Tatsunari

doi:10.1090/proc/15008

Remarks on rational points of universal curves
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Proc. Amer. Math. Soc. 148 (2020), 3761-3773 Request permission

Abstract:

In this note, we will give some remarks on the results in [J. Amer. Math. Soc. 24 (2011), no. 3, pp. 709–769] by Hain. In particular, we consider the universal curves ${\mathcal {M}}_{g,n+1}\to {\mathcal {M}}_{g,n}$ and the sections of their algebraic fundamental groups.

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