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arXiv · 1905.00128

Stability and holomorphic connections on vector bundles over LVMB manifolds

Indranil Biswas·Sorin Dumitrescu·Laurent Meersseman
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Abstract

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.

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Indranil Biswas, Sorin Dumitrescu, Laurent Meersseman. 2019-04-30. Stability and holomorphic connections on vector bundles over LVMB manifolds. https://arxiv.org/abs/1905.00128

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