Uhlenbeck-Donaldson compactification for framed sheaves on projective surfaces

Details Uhlenbeck-Donaldson compactification for framed sheaves on projective surfaces Uhlenbeck-Donaldson compactification for framed sheaves on projective surfaces

2010-09-04

arxiv.org/abs/1009.0856v2

Mathematics

Algebraic Geometry

18 pages. v2: a few very minor changes

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Uhlenbeck-Donaldson compactification for framed sheaves on projective surfaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Uhlenbeck-Donaldson compactification for framed sheaves on projective surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Uhlenbeck-Donaldson compactification for framed sheaves on projective surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-285002