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Variétés de type Togliatti

Jean Vallès

math.AGarXiv:math/0604023

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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