Hilbert schemes of points on some K3 surfaces and Gieseker stable bundles

Details Hilbert schemes of points on some K3 surfaces and Gieseker stable bundles Hilbert schemes of points on some K3 surfaces and Gieseker stable bundles

1994-12-14

arxiv.org/abs/alg-geom/9412014v1

Mathematics

Algebraic Geometry

8 pages, AMSLaTeX, no figures

Scientific paper

By using a Fourier-Mukai transform for sheaves on K3 surfaces we show that
for a wide class of K3 surfaces $X$ the punctual Hilbert schemes $\Hilb^n(X)$
can be identified, for all $n\geq 1$, with moduli spaces of Gieseker stable
vector bundles on $X$ of rank $1+2n$. We also introduce a new Fourier-Mukai
type transform for such surfaces.

Affiliated with

Also associated with

No associations

Rating

Hilbert schemes of points on some K3 surfaces and Gieseker stable bundles 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 Hilbert schemes of points on some K3 surfaces and Gieseker stable bundles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hilbert schemes of points on some K3 surfaces and Gieseker stable bundles will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-420630