À propos des variétés de Poncelet

Jean Vallès (1)

1 LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau]

We recall the definition of Poncelet varieties that generalize the celebrated Poncelet curves introduced by Darboux. We show that any quadric and any smooth cubic in the projective space of dimension three is a Poncelet surface but that a general surface of degree greater than four is not.

Mots clés: Fibrés de Schwarzenberger; Courbes et surfaces de Poncelet

Domaines: Géométrie algébrique [math.AG]

Jean Vallès. À propos des variétés de Poncelet. Twelveth International Conference Zaragoza-Pau on Mathematics and Statistics, Sep 2012, Jaca, France. ⟨hal-00804196⟩