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VOL. 18.2 | 1990 Moduli of Einstein Metrics on a K3 Surface and Degeneration of Type I

Abstract

This is an expository paper on the moduli space of K3 surfaces with Kähler–Einstein metric. We construct the universal family of Kähler–Einstein metrics on a K3 surface and show that it necessarily includes singular metrics such that some embedded 2-spheres have zero volume. We analyze this degeneration of Kähler–Einstein metrics in detail.

Information

Published: 1 January 1990
First available in Project Euclid: 17 June 2018

zbMATH: 0755.32023
MathSciNet: MR1145251

Digital Object Identifier: 10.2969/aspm/01820257

Rights: Copyright © 1990 Mathematical Society of Japan

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Vol. 18.2 • 1 January 1990
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