Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities-Reference-Cited by-同舟云学术

Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities

Published:2014-03-28 Issue:1 Volume:28 Page:183-197
ISSN:0894-0347
Container-title:Journal of the American Mathematical Society
language:en
Short-container-title:J. Amer. Math. Soc.

Author:

Chen Xiuxiong,Donaldson Simon,Sun Song

Abstract

This is the first of a series of three papers which prove the fact that a K-stable Fano manifold admits a Kähler-Einstein metric. The main result of this paper is that a Kähler-Einstein metric with cone singularities along a divisor can be approximated by a sequence of smooth Kähler metrics with controlled geometry in the Gromov-Hausdorff sense.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/jams/2015-28-01/S0894-0347-2014-00799-2/S0894-0347-2014-00799-2.pdf

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