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Bergman kernels and subadjunction

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arxiv 1002.4145 v1 pith:DV4L2SOE submitted 2010-02-22 math.AG

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keywords pointproofresultsubadjunctiontheoremappropriatearticlebergman
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abstract

In this article our main result is a more complete version of the statements obtained in {\rm [6]}. One of the important technical point of our proof is an $\displaystyle L^{2\over m}$ extension theorem of Ohsawa-Takegoshi type, which is derived from the original result by a simple fixed point method. Moreover, we show that these techniques combined with an appropriate form of the"invariance of plurigenera" can be used in order to obtain a new proof of the celebrated Y. Kawamata subadjunction theorem.

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Cited by 1 Pith paper

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  1. A characterization of uniruled compact K\"ahler manifolds

    math.AG 2025-01 accept novelty 8.0 of 10

    A compact Kähler manifold is uniruled exactly when its canonical line bundle is not pseudoeffective, proved by carrying Bost's algebraicity criterion to the Kähler setting.

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