Inequidimensionality of Hilbert schemes

被引：4

作者：

Chang, MC ^{[1
]}

机构：

[1] INST ADV STUDY,SCH MATH,PRINCETON,NJ 08540

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1997年 / 125卷 / 09期

关键词：

Hilbert scheme; moduli space; projectively normal subvarieties; deformation theory; dimension;

D O I：

10.1090/S0002-9939-97-03836-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a lower bound on the number of distinct dimensions of irreducible components of the Hilbert scheme of codimension 2 subvarieties in Ipn, for n less than or equal to 5 (respectively, the moduli space of surfaces or S-folds) in terms of the Hilbert polynomial (resp. Chern numbers).

引用

页码：2521 / 2526

页数：6