On the extension of holomorphic sections from reduced unions of strata of divisors

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.

28 pages. This version consists of (a revision of) the part about adjoint bundles of the original version; the rest parts about pluricanonical bundles are removed and will appear in another article

References in corpus (1)

• Relative critical exponents, non-vanishing and metrics with minimal singularities

Cited by in corpus (1)

• Extension with log-canonical measures and an improvement to the plt extension of Demailly--Hacon--Paun