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STABILITY AND HOLOMORPHIC CONNECTIONS ON VECTOR BUNDLES OVER LVMB MANIFOLDS

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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https://hal.archives-ouvertes.fr/hal-02121574
Contributor : Sorin Dumitrescu <>
Submitted on : Monday, May 6, 2019 - 4:13:09 PM
Last modification on : Monday, October 12, 2020 - 2:28:06 PM

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  • HAL Id : hal-02121574, version 1

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Indranil Biswas, Sorin Dumitrescu, Laurent Meersseman. STABILITY AND HOLOMORPHIC CONNECTIONS ON VECTOR BUNDLES OVER LVMB MANIFOLDS. Comptes Rendus Mathématique, Elsevier Masson, inPress. ⟨hal-02121574⟩

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