On the Ohsawa-Takegoshi extension theorem

Junyan Cao; Mihai Paun

On the Ohsawa-Takegoshi extension theorem

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arxiv 2002.04968 v1 pith:VDD2T4CE submitted 2020-02-12 math.CV math.AGmath.DG

Junyan Cao , Mihai Paun This is my paper · ORCID

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keywords extensionappendixboundscanonicalcrossingsdefinedestablishexamples

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We establish a new extension result for twisted canonical forms defined on a hypersurface with simple normal crossings of a projective manifold. Some of the examples presented in the appendix are showing that the bounds we obtain for the extension are sharp.

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An extension theorem in terms of adjoint ideal sheaves
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On compact Kähler manifolds, holomorphic top forms on σ-lc centres of the same codimension extend to the ambient space, without L² estimates, under the curvature positivity condition (eq5.1).

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