On Some Moduli Spaces of Bundles
نویسنده
چکیده
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 = 2g− 2, g ≥ 3, and Picard number ρ(S) = rkN(S) = 2 such that for a general K3 surface S satisfying these conditions the moduli space of sheaves MS(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 [8] when g = rs+ 1 and of [2] when r = s = 2, g ≥ 5.
منابع مشابه
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تاریخ انتشار 2009