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Dynamical construction of Kähler-Einstein metrics

Hajime Tsuji
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Abstract

In this paper, I give a new construction of a Kähler-Einstein metrics on a smooth projective variety with ample canonical bundle. This result can be generalized to the construction of a singular Kähler-Einstein metric on a smooth projective variety of general type which gives an AZD of the canonical bundle. Also the variation of Bergman kernels and Kähler-Einstein volume form have been considered.

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Hajime Tsuji. 2007-03-14. Dynamical construction of Kähler-Einstein metrics. https://arxiv.org/abs/math/0606626

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