Singularities of the isospectral Hilbert scheme

被引：1

作者：

Scala, Luca ^{[1
,2
]}

机构：

[1] Univ Fed Santa Catarina, Dept Math, BR-88040900 Florianopolis, SC, Brazil

[2] Univ Fed Rio de Janeiro, Inst Math, BR-21941909 Rio De Janeiro, RJ, Brazil

来源：

COMMUNICATIONS IN ALGEBRA | 2019年 / 47卷 / 09期

关键词：

Isospectral Hilbert scheme of points; canonical singularities; log-canonical thresholds; crepant resolution; RATIONAL-SINGULARITIES; MULTIPLIER IDEALS; RINGS;

D O I：

10.1080/00927872.2019.1570226

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the singularities of the isospectral Hilbert scheme B-n of n points over a smooth algebraic surface and we prove that they are canonical if , log-canonical if and not log-canonical if . We describe as well two explicit log-resolutions of B-3, one crepant and the other -equivariant.

引用

页码：3614 / 3628

页数：15

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