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Les hypersurfaces cubiques sont séparablement rationnellement connexes

David A. Madore
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Abstract

This note (which makes no claim to novelty) presents a proof of the separable rational connectedness of smooth cubic hypersurfaces, in any characteristic, by showing how to explicitly construct very free curves (of degree 3) on them. ----- Cette note (qui ne prétend pas à l'originalité) démontre la séparable rationnelle connexité des hypersurfaces cubiques lisses, en toute caractéristique, en construisant explicitement des courbes très libres (de degré 3) tracées dessus.

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David A. Madore. 2006-05-25. Les hypersurfaces cubiques sont séparablement rationnellement connexes. https://arxiv.org/abs/math/0605662

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