Les hypersurfaces cubiques sont séparablement rationnellement connexes
David A. Madore
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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