The moduli space of cubic threefolds

被引：34

作者：

Allcock, D ^{[1
]}

机构：

[1] Univ Texas, Dept Math, Austin, TX 78712 USA

来源：

JOURNAL OF ALGEBRAIC GEOMETRY | 2003年 / 12卷 / 02期

关键词：

D O I：

10.1090/S1056-3911-02-00313-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe the moduli space of cubic hypersurfaces in CP4 in the sense of geometric invariant theory. That is, we characterize the stable and semistable hypersurfaces in terms of their singularities, and determine the equivalence classes of semistable hypersurfaces under the equivalence relation of their orbit-closures meeting.

引用

页码：201 / 223

页数：23

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