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

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Duration: 3 min 30 s
Description: Abstract By using a Fourier-Mukai transform for sheaves on K3 surfaces we show that for a wide class of K3 surfaces X the Hilbert schemes Hilb n ( X ) can be identified for all n ≥ 1 with moduli spaces of Gieseker stable vector bundles on X . We also introduce a new Fourier-Mukai type transform for such surfaces.
Ugo Bruzzo; Antony Maciocia
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