Variétés de type Togliatti

Details Variétés de type Togliatti Variétés de type Togliatti

2006-04-03

arxiv.org/abs/math/0604023v1

Mathematics

Algebraic Geometry

en fran\c{c}ais, 6 pages

Scientific paper

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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