A remark on constant scalar curvature Kähler metrics on minimal models

Author:

Jian Wangjian,Shi Yalong,Song Jian

Abstract

In this short note, we prove the existence of constant scalar curvature Kähler metrics on compact Kähler manifolds with semi-ample canonical bundles.

Funder

China Scholarship Council

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference24 articles.

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2. Convexity of the 𝐾-energy on the space of Kähler metrics and uniqueness of extremal metrics;Berman, Robert J.;J. Amer. Math. Soc.,2017

3. On the lower bound of the Mabuchi energy and its application;Chen, Xiuxiong;Internat. Math. Res. Notices,2000

4. A new parabolic flow in Kähler manifolds;Chen, X. X.;Comm. Anal. Geom.,2004

5. Xiuxiong Chen and Jingrui Cheng, The constant scalar curvature Kähler metrics (II)-existence results, arXiv:1801.00656v1, 2018.

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