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

Title	Hilbert schemes of points on some K3 surfaces and Gieseker stable boundles
Publication Type	Journal Article
Year of Publication	1994
Authors	Bruzzo, U, Maciocia, A
Journal	MATH PROC CAMBRIDGE 120: 255-261 Part 2
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.
URL	http://hdl.handle.net/1963/937

Research Group:

Mathematics