On the birational section conjecture over finitely generated fields
Number Theory
2021-04-21 v3 Algebraic Geometry
Abstract
We investigate the birational section conjecture for curves over function fields of characteristic zero and prove that the conjecture holds over finitely generated fields over Q if it holds over number fields.
Keywords
Cite
@article{arxiv.1909.12099,
title = {On the birational section conjecture over finitely generated fields},
author = {Mohamed Saïdi and Michael Tyler},
journal= {arXiv preprint arXiv:1909.12099},
year = {2021}
}
Comments
Final version, to appear in the Algebra and Number Theory journal