Dynamical construction of Kähler-Einstein metrics

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25pages, no figure, Proof of Lemma 3.6 has been replaced by a result of Bedford and Taylor

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Algebraic Geometry, Differential Geometry, 53C25, 32G07

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http://salesiana.dossiersoluciones.com/handle/123456789/125599

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0606626
 http://arxiv.org/abs/math/0606626

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arXiv