K3 surfaces: moduli spaces and Hilbert schemes
نویسندگان
چکیده
LetX be an algebraicK3 surface. Fix an ample divisorH onX ,L ∈ Pic(X) and c2 ∈ Z. Let MH(r;L, c2) be the moduli space of rank r, H-stable vector bundles E over X with det(E) = L and c2(E) = c2. The goal of this paper is to determine invariants (r; c1, c2) for which MH(r;L, c2) is birational to some Hilbert scheme Hilb(X).
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