Higher canonical asymptotics of Kähler–Einstein metrics on quasi-projective manifolds

We derive a canonical asymptotic expansion up to infinite order of the Kähler–Einstein metric on a quasi-projective manifold, which can be compactified by adding a divisor with simple normal crossings. Characterized by the log filtration of the Cheng–Yau Hölder ring, the asymptotics are obtained by constructing an initial Kähler metric, deriving certain iteration formula and applying the isomorphism theorems of the Monge–Ampère operators. This work is parallel to the asymptotics of Fefferman, Lee and Melrose on pseudoconvex domains in C.