TY - JOUR T1 - Hilbert schemes of points on some K3 surfaces and Gieseker stable boundles JF - MATH PROC CAMBRIDGE 120: 255-261 Part 2 Y1 - 1994 A1 - Ugo Bruzzo A1 - Antony Maciocia AB -

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.

PB - SISSA Library UR - http://hdl.handle.net/1963/937 U1 - 3517 U2 - Mathematics U3 - Mathematical Physics ER -