Relative Hilbert scheme of points

被引：1

作者：

Setayesh, Iman ^{[1
,2
]}

机构：

[1] Tarbiat Modares Univ, Fac Math Sci, Dept Math, POB 14115-137, Tehran, Iran

[2] Inst Res Fundamental Sci IPM, POB 19395-5746, Tehran, Iran

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2016年 / 68卷 / 03期

关键词：

Hilbert scheme of points; relative Hilbert scheme; LOCALIZATION; HOMOLOGY;

D O I：

10.2969/jmsj/06831325

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let D be a smooth divisor on a non singular surface S. We compute the Betti numbers of the Hilbert scheme of points of S relative to D. In the case of P-2 and a line in it, we give an explicit set of generators and relations for the corresponding cohomology groups.

引用

页码：1325 / 1356

页数：32

共 26 条

[1]

[Anonymous], 1999, RATIONAL CURVES ALGE

[2] THE MOMENT MAP AND EQUIVARIANT CO-HOMOLOGY [J].