Dynamical construction of Kähler-Einstein metrics

Details Dynamical construction of Kähler-Einstein metrics Dynamical construction of Kähler-Einstein metrics

2006-06-25

arxiv.org/abs/math/0606626v3

Mathematics

Algebraic Geometry

25pages, no figure, Proof of Lemma 3.6 has been replaced by a result of Bedford and Taylor

Scientific paper

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

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