Dynamical construction of K\"ahler-Einstein metrics

Abstract

In this paper, I give a new construction of a K\"ahler-Einstein metrics on a smooth projective variety with ample canonical bundle. This result can be generalized to the construction of a singular K\"ahler-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 K\"ahler-Einstein volume form have been considered.

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