English

\`A propos des vari\'et\'es de Poncelet

Algebraic Geometry 2013-03-26 v1

Abstract

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.

Cite

@article{arxiv.1303.6113,
  title  = {\`A propos des vari\'et\'es de Poncelet},
  author = {Jean Vallès},
  journal= {arXiv preprint arXiv:1303.6113},
  year   = {2013}
}

Comments

7 pages, in French

R2 v1 2026-06-21T23:47:39.338Z