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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
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Submitted on : Monday, May 6, 2019 - 4:13:09 PM
Last modification on : Wednesday, October 27, 2021 - 1:22:54 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, Centre Mersenne (2020-..) ; Elsevier Masson (2002-2019), 2020, 358 (2), pp.151-157. ⟨hal-02121574⟩

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