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arXiv math/0604023math.AG
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Variétés de type陶里亚蒂

Variétés de type Togliatti

Jean Vallès

摘要:

将射影平面沿三点(不对齐)进行爆破得到的Del Pezzo曲面S6具有如下优良性质:它的密切超平面有一个公共点。因此,S_6也被称为陶里亚蒂表面。在本文中,我们对这一事实给出了两种解释。之后,我们获得了具有类似性质的两个不同的品种家族。

英文摘要:

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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