Geodesic
Moduli of framed sheaves on projective surfaces
Documenta mathematica, Tome 16 (2011), pp. 399-410.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 14D20, 14D21, 14J60
Keywords: framed sheaves, moduli spaces, stable pairs, instantons 
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     author = {Bruzzo, Ugo and Markushevish, Dimitri},
     title = {Moduli of framed sheaves on projective surfaces},
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     volume = {16},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2011__16__a22/}
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Bruzzo, Ugo; Markushevish, Dimitri. Moduli of framed sheaves on projective surfaces. Documenta mathematica, Tome 16 (2011), pp. 399-410. http://geodesic.mathdoc.fr/item/DOCMA_2011__16__a22/