Asymptotic expansions of complete Kähler-Einstein metrics with finite volume on quasi-projective manifolds
arXiv:1809.06504
Abstract
We give an elementary proof to the asymptotic expansion formula of Rochon-Zhang for the unique complete Kähler-Einstein metric of Cheng-Yau, Kobayashi, Tian-Yau and Bando on quasi-projective manifolds. The main tools are the solution formula for second order ODE's with constant coefficients and spectral theory for Laplacian operator on a closed manifold.
29 pages, submitted. All comments are welcome!