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Non-flat extension of flat vector bundles

2014/09/10 by Indranil Biswas, Biswas, Indranil, Viktoria Heu +1
Mathematics · #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #FOS: Mathematics #Geometry and complex manifolds #Holomorphic and Operator Theory #math.CV

paper · pdf · doi:10.48550/arxiv.1409.3178

openalex publication_date 2014/09/10 · arxiv created 2015/10/29 · arxiv updated 2015/10/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct a pair (E ,F), where E is a holomorphic vector bundle over a compact Riemann surface and F a holomorphic subbundle of E, such that both F and E/F admit holomorphic connections, but E does not.

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