A constructive approach to a conjecture by Voskresenskii

• Mathieu Florence ^[1] ; Michel van Garrel ^[2]
  1. [1] Laboratoire d'informatique de Paris 6

     Laboratoire d'informatique de Paris 6

     París, Francia

     
  2. [2] University of Hamburg

     University of Hamburg

     Hamburg, Freie und Hansestadt, Alemania

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 23, Nº. 4, 2017, págs. 2899-2906
• Idioma: inglés
• DOI: 10.1007/s00029-017-0330-x
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• Resumen

  • 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.