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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

Ugo Bruzzo  and
Antony Maciocia
Ugo Bruzzo
Affiliation:
International School for Advanced Studies, Via Beirut 2-4, 34014 Miramare, Trieste, Italy e-mail address: [email protected]
Antony Maciocia
Affiliation:
Department of Mathematics and Statistics, The University of Edinburgh, The King's Buildings, Mayfield Road, Edinburgh, EH9 3JZ, UK e-mail address: [email protected]
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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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References

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