Line bundles for which a projectivized jet bundle is a product

Sandra Di Rocco, Andrew J. Sommese
2000 Proceedings of the American Mathematical Society  
We characterize the triples (X, L, H), consisting of line bundles L and H on a complex projective manifold X, such that for some positive integer k, the k-th holomorphic jet bundle of L, J k (X, L), is isomorphic to a direct sum H ⊕ · · · ⊕ H.
doi:10.1090/s0002-9939-00-05875-5 fatcat:oaql5z32ujcznaonzhujc2mgxi