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arXiv · alg-geom/9412014

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

Ugo Bruzzo·Antony Maciocia
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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 punctual Hilbert schemes $\Hilb^n(X)$ can be identified, for all $n\geq 1$, with moduli spaces of Gieseker stable vector bundles on $X$ of rank $1+2n$. We also introduce a new Fourier-Mukai type transform for such surfaces.

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BibTeXRIS

Ugo Bruzzo, Antony Maciocia. 1994-12-14. Hilbert schemes of points on some K3 surfaces and Gieseker stable bundles. https://arxiv.org/abs/alg-geom/9412014

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