Examples of smooth components of moduli spaces of stable sheaves

被引：4
|
作者：
Reede, Fabian [1 ]
Zhang, Ziyu [2 ]
机构：
[1] Leibniz Univ Hannover, Inst Algebra Geometr, Welfengarten 1, D-30167 Hannover, Germany
[2] ShanghaiTech Univ, Inst Math Sci, 393 Middle Huaxia Rd, Shanghai 201210, Peoples R China
来源：
MANUSCRIPTA MATHEMATICA | 2021年 / 165卷 / 3-4期
关键词：
VECTOR-BUNDLES; TAUTOLOGICAL BUNDLES; HILBERT SCHEMES; STABILITY;
D O I：
10.1007/s00229-020-01223-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let M be a projective fine moduli space of stable sheaves on a smooth projective variety X with a universal family E. We prove that in four examples, E can be realized as a complete flat family of stable sheaves on M parametrized by X, which identifies X with a smooth connected component of some moduli space of stable sheaves on M.
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页码：605 / 621
页数：17
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