On some moduli of complexes on K3 surfaces

Details On some moduli of complexes on K3 surfaces On some moduli of complexes on K3 surfaces

2012-03-07

arxiv.org/abs/1203.1558v1

Mathematics

Algebraic Geometry

8 pages

Scientific paper

We consider moduli stacks of Bridgeland semistable objects that previously had only set-theoretic identifications with Uhlenbeck compactification spaces. On a K3 surface $X$, we give examples where such a moduli stack is isomorphic to a moduli stack of slope semistable locally free sheaves on the Fourier-Mukai partner $\hat{X}$. This yields a morphism from the stack of Bridgeland semistable objects to a projective scheme, which induces an injection on closed points. It also allows us to extend a theorem of Bruzzo-Maciocia on Hilbert schemes to a statement on moduli of complexes.

Affiliated with

Also associated with

No associations

Rating

On some moduli of complexes on K3 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 On some moduli of complexes on K3 surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On some moduli of complexes on K3 surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-395314