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Extension of holomorphic vector bundles across a boundary point
Abstract:Let U ? C n , n ≥ 3, be a domain and P?U such that U is 2-concave at P. Here we prove the existence of a holomorphic vector bundle on U which does not extend across P, but it extends across every Q?U with QP. We also prove a similar result taking a Stein space X instead of C n .
Keywords:Holomorphic vector bundle  Coherent analytic sheaf  q-concave complex space  q-concavity
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