In this paper all non-splitting rank-two vector bundles E without intermediate cohomology on a general quartic hypersurface X in P4 are classified. In particular, the existence of some curves on a general quartic hypersurface is proved.
@article{urn:eudml:doc:44478, title = {Rank-two vector bundles on general quartic hypersurfaces in P4.}, journal = {Revista Matem\'atica de la Universidad Complutense de Madrid}, volume = {13}, year = {2000}, pages = {287-301}, zbl = {0981.14019}, mrnumber = {MR1822114}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44478} }
Madonna, Carlo. Rank-two vector bundles on general quartic hypersurfaces in P4.. Revista Matemática de la Universidad Complutense de Madrid, Tome 13 (2000) pp. 287-301. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44478/