Abstract
We prove two extension theorems of Ohsawa-Takegoshi type on compact Kähler manifolds. In our proof, there are many complications arising from the regularization process of quasi-psh functions on compact Kähler manifolds, and unfortunately we only obtain particular cases of the expected result. We remark that the two special cases we proved are natural, since they occur in many situations. We hope that the new techniques we develop here will allow us to obtain the general extension result of Ohsawa-Takegoshi type on compact Kähler manifolds in a near future.
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Yi, L. An Ohsawa-Takegoshi theorem on compact Kähler manifolds. Sci. China Math. 57, 9–30 (2014). https://doi.org/10.1007/s11425-013-4656-3
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DOI: https://doi.org/10.1007/s11425-013-4656-3