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Uhlenbeck-Donaldson compactification for framed sheaves on projective surfaces

TitleUhlenbeck-Donaldson compactification for framed sheaves on projective surfaces
Publication TypePreprint
2010
AuthorsBruzzo, U, Markushevich, D, Tikhomirov, A
Document NumberSISSA;59/2010/FM

We construct a compactification $M^{\\\\mu ss}$ of the Uhlenbeck-Donaldson type for the moduli space of slope stable framed bundles. This is a kind of a moduli space of slope semistable framed sheaves. We show that there exists a projective morphism $\\\\gamma \\\\colon M^s \\\\to M^{\\\\mu ss}$, where $M^s$ is the moduli space of S-equivalence classes of Gieseker-semistable framed sheaves. The space $M^{\\\\mu ss}$ has a natural set-theoretic stratification which allows one, via a Hitchin-Kobayashi correspondence, to compare it with the moduli spaces of framed ideal instantons.

http://hdl.handle.net/1963/4049

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