Advanced Studies in Pure Mathematics

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

Ryoichi Kobayashi

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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.

Article information

Source
Kähler Metric and Moduli Spaces, T. Ochiai, ed. (Tokyo: Mathematical Society of Japan, 1990), 137-228

Dates
Received: 27 March 1990
Revised: 31 July 1990
First available in Project Euclid: 17 June 2018

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1529259549

Digital Object Identifier
doi:10.2969/aspm/01820137

Mathematical Reviews number (MathSciNet)
MR1145249

Zentralblatt MATH identifier
0754.53051

Citation

Kobayashi, Ryoichi. Ricci-Flat Kähler Metrics on Affine Algebraic Manifolds and Degenerations of Kähler–Einstein K3 Surfaces. Kähler Metric and Moduli Spaces, 137--228, Mathematical Society of Japan, Tokyo, Japan, 1990. doi:10.2969/aspm/01820137. https://projecteuclid.org/euclid.aspm/1529259549


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