An Ohsawa-Takegoshi theorem on compact Kähler manifolds

Details An Ohsawa-Takegoshi theorem on compact Kähler manifolds An Ohsawa-Takegoshi theorem on compact Kähler manifolds

2011-04-13

arxiv.org/abs/1104.2406v2

Mathematics

Algebraic Geometry

Scientific paper

In this article we prove a theorem of Ohsawa-Takegoshi type on compact K\"ahler manifolds. Our arguments follow the "standard" approach for this kind of extension results; however, there are many complications arising from the regularization process of quasi-psh functions on compact K\"ahler manifolds, and unfortunately we only obtain a particular case of the expected result. We remark that the additional hypothesis we are forced to make are natural, since they are in many situations; we hope to remove them in a near future.

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