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arXiv:math/0606626 [math.AG]AbstractReferencesReviewsResources

Dynamical construction of Kähler-Einstein metrics

Hajime Tsuji

Published 2006-06-25, updated 2007-03-14Version 3

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.

Comments: 25pages, no figure, Proof of Lemma 3.6 has been replaced by a result of Bedford and Taylor
Categories: math.AG, math.DG
Subjects: 53C25, 32G07
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