Line bundles for which a projectivized jet bundle is a product

Line bundles for which a projectivized jet bundle is

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

Line Bundles for Which a Projectivized Jet Bundle Is a Product

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, Jk(X, L), is isomorphic to a direct sum H ⊕ · · · ⊕H.

ar X iv : m at h / 98 06 14 4 v 1 [ m at h . A G ] 2 6 Ju n 19 98 Line bundles for which a projectivized jet bundle is a product

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, Jk(X, L), is isomorphic to a direct sum H ⊕ . . .⊕H . 1991 Mathematics Subject Classification. 14J40, 14M99.

Modules for which every non-cosingular submodule is a summand

‎A module $M$ is lifting if and only if $M$ is amply supplemented and‎ ‎every coclosed submodule of $M$ is a direct summand‎. ‎In this paper‎, ‎we are‎ ‎interested in a generalization of lifting modules by removing the condition‎"‎amply supplemented‎" ‎and just focus on modules such that every non-cosingular‎ ‎submodule of them is a summand‎. ‎We call these modules NS‎. ‎We investigate some gen...

Finsler Geometry of Projectivized Vector Bundles