HILBERT SCHEMES OF POINTS ON SOME K3 SURFACES AND GIESEKER STABLE BUNDLES

Authors
BRUZZO U MACIOCIA A
Citation
U. Bruzzo et A. Maciocia, HILBERT SCHEMES OF POINTS ON SOME K3 SURFACES AND GIESEKER STABLE BUNDLES, Mathematical proceedings of the Cambridge Philosophical Society, 120, 1996, pp. 255-261
Citations number
9
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Mathematical proceedings of the Cambridge Philosophical Society → ACNP
ISSN journal
03050041
Volume
120
Year of publication
1996
Part
2
Pages
255 - 261
Database
ISI
SICI code
0305-0041(1996)120:<255:HSOPOS>2.0.ZU;2-6
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 Hilb(n)(X) can be identified for all n greater than or equal to 1 with moduli spa ces of Gieseker stable vector bundles on X. We also introduce a new Fo urier-Mukai type transform for such surfaces.