Chatelet's Theorem in Synthetic Algebraic Geometry
Algebraic Geometry
2025-04-14 v1 Logic
Abstract
We prove a version of Chatelet's Theorem about Severi-Brauer variety having rational points in the setting of synthetic algebraic geometry. We work over an arbitrary base ring.
Cite
@article{arxiv.2504.08326,
title = {Chatelet's Theorem in Synthetic Algebraic Geometry},
author = {Thierry Coquand and Hugo Moeneclaey},
journal= {arXiv preprint arXiv:2504.08326},
year = {2025}
}