Ricci-Flat Kähler Metrics on Affine Algebraic Manifolds and Degenerations of Kähler–Einstein K3 Surfaces

Kobayashi, Ryoichi

doi:10.2969/aspm/01820137

VOL. 18.2 | 1990 Ricci-Flat Kähler Metrics on Affine Algebraic Manifolds and Degenerations of Kähler–Einstein K3 Surfaces

Ryoichi Kobayashi

Editor(s) T. Ochiai

Adv. Stud. Pure Math., 1990: 137-228 (1990) DOI: 10.2969/aspm/01820137

Abstract

Some existence theorems of a complete Ricci-flat Kähler metrics on affine algebraic manifolds are established. As an application, we propose a picture describing the behavior of the Ricci-flat Kähler metrics under semi-stable degenerations of polarized K3 surfaces.