Generalizations and minimalistic refinements of the t-birational Section Conjecture
Algebraic Geometry
2026-04-30 v1
Abstract
In this note we give generalizations and prove 'minimalistic' refinements of the t-birational Section Conjecture (t-BSC), cf. [Be], by doing both: First, by extending the class of base fields over which the t-BSC holds, and second, by proving refinements of the t-BSC which involve much less, that is minimalistic, Galois theoretical information.
Keywords
Cite
@article{arxiv.2604.26131,
title = {Generalizations and minimalistic refinements of the t-birational Section Conjecture},
author = {Florian Pop},
journal= {arXiv preprint arXiv:2604.26131},
year = {2026}
}
Comments
This is a revised version of the submission with the same title from 20 October 2025