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Smoothing positive currents and the existence of Kähler-Einstein metrics

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In this paper, we prove a general existence theorem of Kähler-Einstein metrics on complete Kähler manifolds. We use the heat equation method smoothing certain positive (1, 1) current in the canonical class.

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Correspondence to BingLong Chen.

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Chen, B. Smoothing positive currents and the existence of Kähler-Einstein metrics. Sci. China Math. 55, 893–912 (2012). https://doi.org/10.1007/s11425-011-4347-x

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