Brauer classes not split by genus one curves
Algebraic Geometry
2025-08-12 v1
Abstract
We show that there exist Brauer classes over a field which are not split by any genus one curve over . This answers a question of Clark and Saltman.
Cite
@article{arxiv.2508.07447,
title = {Brauer classes not split by genus one curves},
author = {Zinovy Reichstein and Federico Scavia},
journal= {arXiv preprint arXiv:2508.07447},
year = {2025}
}
Comments
11 pages