Marion Boucrot [1]
The 27 lines on a cubic surface
Jeudi, 2 Février, 2023 - 17:00
Résumé :
In 1849, G.Salmon proved that any nonsingular cubic surface in the projective space of dimension 3 of an algebraically closed field contains exactly 27 lines.
A. Cayley had already shown that there are only finitely many lines on such surfaces.
In this talk, I will present an elementary proof of this result, written by S.Lazarus.
I will also explain why the three hypothesis are necessary, using counter examples, and present the work of L. Schläfli on the case of real cubic surfaces.
Institution de l'oratrice / orateur:
Institut Fourier
Thème de recherche :
Compréhensible
Salle :
4