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Hilbert schemes of points on some K3 surfaces and Gieseker stable bundles
Published online by Cambridge University Press: 24 October 2008
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 Hilbn(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.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 120 , Issue 2 , August 1996 , pp. 255 - 261
- Copyright
- Copyright © Cambridge Philosophical Society 1996
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