IRREDUCIBILITY OF SOME NESTED HILBERT SCHEMES

被引：0
|
作者：
Gangopadhyay, Chandranandan [1 ]
Rasul, Parvez [1 ]
Sebastian, Ronnie [1 ]
机构：
[1] Indian Inst Technol, Dept Math, Mumbai 400076, Maharashtra, India
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2024年 / 152卷 / 05期
关键词：
Nested Hilbert scheme; irreducibility; ALGEBRAIC-FAMILIES;
D O I：
10.1090/proc/16698
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let S be a smooth projective surface over C. Let S[n1,...,nk] denote the nested Hilbert scheme which parametrizes zero-dimensional subschemes en1 subset of ... subset of enk where ei is a closed subscheme of S of length i. We show that S[n,m], S[n,m,m+1], S[n,n+1,m], S[n,n+1,m,m+1], S[n,n+2,m] and S[n,n+2,m,m+1] are irreducible.
引用
收藏
页码：1857 / 1870
页数：14
相关论文
共 50 条
12345