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- W1968045650 abstract "We give several examples of the existence of 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 $rho (S)=rk N(S)=2$, 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 length equal to $g-rs$. This result generalizes a result of Nikulin when $g=rs+1$ and an earlier result of the author when $r=s=2$, $g geq 5$." @default.
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- W1968045650 date "2012-10-01" @default.
- W1968045650 modified "2023-10-18" @default.
- W1968045650 title "On some moduli spaces of bundles on $K3$ surfaces, II" @default.
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- W1968045650 doi "https://doi.org/10.1090/s0002-9939-2012-11251-1" @default.
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