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Variétés de type Togliatti

Jean Vallès
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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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Jean Vallès. 2006-04-03. Variétés de type Togliatti. https://arxiv.org/abs/math/0604023

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