CONFIGURATION SPACES OF NON-SINGULAR CUBIC SURFACES WITH ECKARDT POINTS

被引：1

作者：

Nguyen Chanh Tu ^{[1
]}

机构：

[1] Hue Univ Educ, Dept Math, Hue City, Vietnam

来源：

KYUSHU JOURNAL OF MATHEMATICS | 2009年 / 63卷 / 01期

关键词：

varieties and morphisms; special surfaces embedding moduli theory;

D O I：

10.2206/kyushujm.63.83

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let P-19 be the parametrizing space of cubic surfaces in P-3 The subset corresponds to non-singular cubic surfaces open in P-19 We denote by M-k subset of P-19 the subset of points corresponding to non-singular cubic surfaces in P-3 with at least k Eckardt points For every k, we determine the dimension and the number of irreducible components of M-k A non-singular cubic surface can be viewed as the blowing-up of P-2 at six points in general position A close study of the configuration of six points in P-2 enables us to describe the configuration space of points in P-19 corresponding to non-singular cubic surfaces with a given number of Eckardt points This study also provides an easy method to obtain the classification of non-singular cubic surfaces according to the number of Eckardt points, which is a well-known result

引用

页码：83 / 101

页数：19

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