On cuspidal sections of algebraic fundamental groups
Algebraic Geometry
2008-09-02 v1 Number Theory
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 the fundamental group exact sequence. We follow and refine Nakamura's approach towards these boundary sections. For example, we obtain a weak anabelian theorem for hyperbolic genus 0 curves over quite general fields including for example the maximal abelian extension of the rational numbers.
Cite
@article{arxiv.0809.0017,
title = {On cuspidal sections of algebraic fundamental groups},
author = {Jakob Stix},
journal= {arXiv preprint arXiv:0809.0017},
year = {2008}
}