Stability and holomorphic connections on vector bundles over LVMB manifolds

oleh: Biswas, Indranil, Dumitrescu, Sorin, Meersseman, Laurent

Format: Article
Diterbitkan: Académie des sciences 2020-06-01

Deskripsi

We characterize all LVMB manifolds $X$ such that the holomorphic tangent bundle $TX$ is spanned at the generic point by a family of global holomorphic vector fields, each of them having non-empty zero locus. We deduce that holomorphic connections on semi-stable holomorphic vector bundles over LVMB manifolds with this previous property are always flat.