Dynamical construction of K\"{a}hler-Einstein metrics
Algebraic Geometry
2007-05-23 v3 Differential Geometry
Abstract
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.
Cite
@article{arxiv.math/0606626,
title = {Dynamical construction of K\"{a}hler-Einstein metrics},
author = {Hajime Tsuji},
journal= {arXiv preprint arXiv:math/0606626},
year = {2007}
}
Comments
25pages, no figure, Proof of Lemma 3.6 has been replaced by a result of Bedford and Taylor