Ohsawa-Takegoshi extension theorem for compact Kähler manifolds and applications

2014/04/28 by Junyan Cao, Cao, Junyan · 1 citation
Mathematics · #Geometry and complex manifolds #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.1404.6937

Abstract

Our main goal in this article is to prove a new extension theorem for sections of the canonical bundle of a weakly pseudoconvex Kähler manifold with values in a line bundle endowed with a possibly singular metric. We also give some applications of our result.

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• Compact Kähler manifolds with nef anti-canonical bundle

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