EXCEPTIONAL COLLECTIONS ON NONMINIMAL ENRIQUES SURFACES

被引：0
|
作者：
Cho, Yonghwa [1 ]
机构：
[1] Korea Inst Adv Study, 85 Hoegiro Dongdaemun Gu, Seoul 02455, South Korea
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2022年 / 150卷 / 01期
关键词：
Nonminimal Enriques surfaces; exceptional collections; BUNDLES;
D O I：
10.1090/proc/15760
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By Orlov's formula, the derived category of blow up X = Bl(p) X' -> X' contains D-b (X') as a semiorthogonal component. This raises an interesting question: does there exist a variety X' such that D-b (X') does not admit an exceptional collection of maximal length, but D-b(X) admits an exceptional collection of maximal length? We give such an example when X' is a minimal Enriques surface.
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页码：5 / 14
页数：10
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