A splitting criterion for rank 2 vector bundles on a general sextic   threefold
  In this paper we show that on a general sextic hypersurface $X\subset \bf P^4$, a rank 2 vector bundle $E$ splits if and only if $h^1(E(n))=0$ for any $n \in \bf Z$. We get thus a characterization of complete intersection curves in $X$ 
Luca Chiantini, Carlo Madonna