An elementary approach to Stix's proof of the real section conjecture

TL;DR

This paper provides an elementary proof of the real section conjecture for certain algebraic curves and varieties, simplifying the original argument by J. Stix.

Contribution

It offers a more accessible proof of Stix's result, making the real section conjecture more approachable for researchers.

Findings

Elementary proof of the real section conjecture for hyperbolic curves

Extension of the conjecture to semi-abelian varieties

Simplification of Stix's original argument

Abstract

We give an elementary proof of the real section conjecture for quasi-projective hyperbolic curves and semi-abelian varieties. The underlying argument is essentially equivalent to the one given by J. Stix.