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Effective Very Ampleness of the Canonical Line Bundles on Ball Quotients

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Abstract

We give a criterion of very ampleness of the canonical line bundle on a compact complex manifold in terms of Calabi’s diastasis function with respect to the Bergman metric. As an application, we get an effective result on very ampleness of the canonical line bundle for smooth compact ball quotients.

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Correspondence to Xu Wang.

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Communicated by Bo Berndtsson.

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Wang, X. Effective Very Ampleness of the Canonical Line Bundles on Ball Quotients. J Geom Anal 25, 740–760 (2015). https://doi.org/10.1007/s12220-013-9444-3

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  • DOI: https://doi.org/10.1007/s12220-013-9444-3

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