MODULI OF FRAMED SHEAVES ON PROJECTIVE SURFACES

被引：0

作者：

Bruzzo, Ugo ^{[1
,2
]}

Markushevish, Dimitri ^{[3
]}

机构：

[1] Scuola Int Super Studi Avanzati, I-34136 Trieste, Italy

[2] Ist Nazl Fis Nucl, Sez Trieste, Trieste, Italy

[3] Univ Lille 1, F-59655 Villeneuve Dascq, France

来源：

DOCUMENTA MATHEMATICA | 2011年 / 16卷

关键词：

Framed sheaves; moduli spaces; stable pairs; instantons; INSTANTONS; SPACE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that there exists a fine moduli space for torsion-free sheaves on a projective surface which have a "good framing" on a big and nef divisor. This moduli space is a quasi-projective scheme. This is accomplished by showing that such framed sheaves may be considered as stable pairs in the sense of Huybrechts and Lehn. We characterize the obstruction to the smoothness of the moduli space and discuss some examples on rational surfaces.

引用

页码：399 / 410

页数：12

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