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arxiv: 1606.06982 · v2 · pith:OODD2FNYnew · submitted 2016-06-22 · 🧮 math.AG

Non rationalit\'e stable d'hypersurfaces cubiques sur des corps non alg\'ebriquement clos

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keywords fieldhypersurfacesrationalavailablecloscomparecorpscubic
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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.

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