The Section Conjecture for Graphs and Conical Curves
Algebraic Geometry
2013-04-29 v1 Algebraic Topology
Abstract
In this paper we formulate and prove a combinatorial version of the section conjecture for finite groups acting on finite graphs. We apply this result to the study of rational points and show that finite descent is the only obstruction to the Hasse principle for mildly singular curves whose components are all geometrically rational.
Cite
@article{arxiv.1304.7213,
title = {The Section Conjecture for Graphs and Conical Curves},
author = {Yonatan Harpaz},
journal= {arXiv preprint arXiv:1304.7213},
year = {2013}
}