Moduli of framed sheaves on projective surfaces
Ugo Bruzzo
Scuola Internazionale Superiore di Studi Avanzati, Trieste, Italy; Istituto Nazionale di Fisica Nucleare, Sezione di Trieste, ItalyDimitri Markushevish
Université de Lille, France

Abstract
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.
Cite this article
Ugo Bruzzo, Dimitri Markushevish, Moduli of framed sheaves on projective surfaces. Doc. Math. 16 (2011), pp. 399–410
DOI 10.4171/DM/336