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On the extension of holomorphic sections from reduced unions of strata of divisors (1905.06481v3)

Published 16 May 2019 in math.AG, math.CV, and math.DG

Abstract: In this paper we study the problem of extension of holomorphic sections of line bundles/vector bundles from reduced unions of strata of divisors. An extension theorem of Ohsawa--Takegoshi type is proved. As consequences we deduce several qualitative results on extension from snc divisors and generic global generation of vector bundles.

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