Geodesic
Moduli of framed sheaves on projective surfaces
Documenta mathematica, Tome 16 (2011), pp. 399-410
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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.
DOI : 10.4171/dm/336
Classification : 14D20, 14D21, 14J60
Mots-clés : stable pairs, moduli spaces, framed sheaves, instantons 
@article{10_4171_dm_336,
     author = {Ugo Bruzzo and Dimitri Markushevish},
     title = {Moduli of framed sheaves on projective surfaces},
     journal = {Documenta mathematica},
     pages = {399--410},
     year = {2011},
     volume = {16},
     doi = {10.4171/dm/336},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/336/}
}
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Ugo Bruzzo; Dimitri Markushevish. Moduli of framed sheaves on projective surfaces. Documenta mathematica, Tome 16 (2011), pp. 399-410. doi: 10.4171/dm/336

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