Ohsawa-Takegoshi Extension Theorem for Compact Kähler Manifolds and Applications

By Junyan Cao. 2014

62 citations recorded by the source corpus.

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

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/75018ade02054ef67281b19564b1b39113958a25

How researchers see this paper

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In Applied Mathematics

1. Christopher D. Hacon
2. C. Schnell
3. Mihnea Cristian Popa
4. C. Birkar

In Geometry and Topology

1. Mihnea Cristian Popa
2. C. Schnell
3. Christopher D. Hacon
4. C. Birkar
5. M. Mustaţă
6. Chi Li
7. J. McKernan
8. Hiromu Tanaka

Citations in the corpus

• Algebraic fiber spaces over abelian varieties: around a recent theorem by Cao and Paun (2016, background): “There is also a (weaker) version of the Ohsawa-Takegoshi theorem for the case where the fibers are compact Kähler manifolds, proved by Cao [Cao14].”