Asymptotic expansions of complete Kahler-Einstein metrics with finite volume on quasi-projective manifolds

作     者：Xumin Jiang Yalong Shi 

作者机构：Department of MathematicsFordham UniversityNew YorkNY 10023USA Department of MathematicsNanjing UniversityNanjing 210093China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2022年第65卷第9期

页      面：1953-1974页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by National Natural Science Foundation of China(Grant Nos.11331001 and 11871265) the Hwa Ying Foundation for its financial support and thanks Professor Jian Song for his invitation 

主　　题：asymptotic expansions Kahler-Einstein metric quasi-projective manifolds complex Monge-Ampère equations second-order ODE Schauder estimates spectral theory 

摘      要：We give an elementary proof to the asymptotic expansion formula of Rochon and Zhang(2012)for the unique complete Kahler-Einstein metric of Cheng and Yau(1980),Kobayashi(1984),Tian and Yau(1987)and Bando(1990)on quasi-projective *** main tools are the solution formula for second-order ordinary differential equations(ODEs)with constant coefficients and spectral theory for the Laplacian operator on a closed manifold.