In this paper we show that on a general hypersurface of degree r = 3,4,5,6 in P5 a rank 2 vector bundle ε splits if and only if h1ε(n) = h2ε(n) = 0 for all n ∈ Z. Similar results for r = 1,2 were obtained in [15], [16] and [2].
@article{urn:eudml:doc:41822, title = {ACM bundles on general hypersurfaces in P5 of low degree.}, journal = {Collectanea Mathematica}, volume = {56}, year = {2005}, pages = {85-96}, zbl = {1071.14044}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41822} }
Chiantini, Luca; Madonna, Carlo K. ACM bundles on general hypersurfaces in P5 of low degree.. Collectanea Mathematica, Tome 56 (2005) pp. 85-96. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41822/