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.
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页码：3614 / 3628
页数：15
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