On some moduli spaces of bundles on K3 surfaces, II

Details On some moduli spaces of bundles on K3 surfaces, II On some moduli spaces of bundles on K3 surfaces, II

2009-07-06

arxiv.org/abs/0907.0953v4

Mathematics

Algebraic Geometry

v4. A mistake was corrected. Examples added

Scientific paper

We give many examples in which there exist infinitely many divisorial conditions on the moduli space of polarized K3 surfaces $(S,H)$ of degree $H^2=2g-2$, $g \geq 3$, and Picard number $rk N(S)=\rho(S)=2$ such that for a general K3 surface $S$ satisfying these conditions the moduli space of sheaves $M_S(r,H,s)$ is birationally equivalent to the Hilbert scheme $S[g-rs]$ of zero-dimensional subschemes of $S$ of lenght equal to $g-rs$. This result generalizes the main result of \cite{Nik1} when $g=rs+1$ and of \cite{Monat} when $r=s=2$, $g \geq 5$.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-27436