A constructive approach to a conjecture by Voskresenskii
Algebraic Geometry
2017-04-19 v2
Abstract
Voskresenskii conjectured that stably rational tori are rational. Klyachko proved this assertion for a wide class of tori by general principles. We re-prove Klyachko's result by providing simple explicit birational isomorphisms, and elaborate on some links to torus-based cryptography.
Cite
@article{arxiv.1608.05942,
title = {A constructive approach to a conjecture by Voskresenskii},
author = {Mathieu Florence and Michel van Garrel},
journal= {arXiv preprint arXiv:1608.05942},
year = {2017}
}