Commuting matrices and the Hilbert scheme of points on affine spaces

被引：10

作者：

Henni, Abdelmoubine A. ^{[1
]}

Jardim, Marcos ^{[2
]}

机构：

[1] Univ Fed Santa Catarina, Dept Matemat, Campus Univ Trindade, BR-88040900 Florianopolis, SC, Brazil

[2] Univ Estadual Campinas, IMECC, Dept Matemat, Rua Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP, Brazil

来源：

ADVANCES IN GEOMETRY | 2018年 / 18卷 / 04期

基金：

巴西圣保罗研究基金会;

关键词：

Hilbert scheme of points; monads; ALGEBRAS; REPRESENTATIONS; VARIETIES; FAMILIES;

D O I：

10.1515/advgeom-2018-0011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give linear algebraic and monadic descriptions of the Hilbert scheme of points on the affine space of dimension n which naturally extends Nakajima's representation of the Hilbert scheme of points on the plane. As an application of our ideas and recent results from the literature on commuting matrices, we show that the Hilbert scheme of c points on C-3 is irreducible for c <= 10.

引用

页码：467 / 482

页数：16

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