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VOL. 63 | 2012 On cuspidal sections of algebraic fundamental groups
Jakob Stix

Editor(s) Hiroaki Nakamura, Florian Pop, Leila Schneps, Akio Tamagawa

Abstract

Rational points in the boundary of a hyperbolic curve over a field with sufficiently nontrivial Kummer theory are the source for an abundance of sections of its fundamental group extension. We refine Nakamura's approach to these sections and obtain an anabelian theorem for hyperbolic genus 0 curves over quite general fields, for example $\mathbb{Q}^{\mathrm{ab}}$.

Information

Published: 1 January 2012
First available in Project Euclid: 24 October 2018

zbMATH: 1321.14027
MathSciNet: MR3051254

Digital Object Identifier: 10.2969/aspm/06310519

Subjects:
Primary: 14H30
Secondary: 12E30, 14G05

Rights: Copyright © 2012 Mathematical Society of Japan

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