Full paper in PDF:
$%C. Madonna, Rank-two vector bundles on general quartic hypersurfaces in R4, Rev. Mat. Complut. 13 (2000), no. 2, 287301.%$

Rank-Two Vector Bundles on General Quartic Hypersurfaces in R4
Carlo MADONNA
Dipartimento di Matematica
Università di Roma Tor Vergata
Viale della Ricerca Scientifica
00133 Roma — Italy

Received: November 29, 1999
Revised: May 29, 2000

ABSTRACT

In this paper all non-splitting rank-two vector bundles E without intermediate cohomology on a general quartic hypersurface X  in  4
P  are classified. In particular, the existence of some curves on a general quartic hypersurface is proved.

1991 Mathematics Subject Classification: 14F05.