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.

引用

页码：605 / 621

页数：17

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