Non rationalité stable d'hypersurfaces cubiques sur des corps non algébriquement clos
arXiv:1606.06982
Abstract
We propose and compare various techiques available to produce smooth cubic hypersurfaces over a non-algebraically-closed field which have rational points but which are not stably rational over their ground field.
in French; very slightly revised version, to appear in the Proceedings of the International Colloquium on K-Theory, Mumbai (January 2016)