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 greater than or equal to 1 with moduli spaces of Gieseker stable vector bundles on X. We also introduce a new Fourier-Mukai type transform for such surfaces.
Hilbert schemes of points on some K3 surfaces and Gieseker stable bundles / Bruzzo, U.; Maciocia, A.. - In: MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY. - ISSN 0305-0041. - 120:2(1996), pp. 255-261. [10.1017/S0305004100074843]
Hilbert schemes of points on some K3 surfaces and Gieseker stable bundles
Bruzzo, U.;
1996-01-01
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 greater than or equal to 1 with moduli spaces of Gieseker stable vector bundles on X. We also introduce a new Fourier-Mukai type transform for such surfaces.File in questo prodotto:
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