Variétés de type Togliatti

preprint2006arXivOpen access

Abstract

The Del Pezzo surface S\_6 obtained by blowing up the projective plane along three points (non aligned) has the following nice property : its osculating hyperplanes have a common point. For that reason S\_6 is also called Togliatti surface. In this paper we give two explanations of this fact. After what we obtain two different families of varieties with an analogous property.

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