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arXiv · 1608.05942

A constructive approach to a conjecture by Voskresenskii

Mathieu Florence·Michel van Garrel
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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.

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Mathieu Florence, Michel van Garrel. 2016-08-21. A constructive approach to a conjecture by Voskresenskii. https://arxiv.org/abs/1608.05942

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