2019/04/30 by Biswas, Indranil, Dumitrescu, Sorin, Meersseman, Laurent
#Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.1905.00128
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.