, Volume 189, Issue 1, pp 227-235

Indefinite Kähler-Einstein Metrics on Compact Complex Surfaces

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We completely classify those compact complex surfaces which admit indefinite Ricci-flat Kähler metrics. Slightly weaker results are also obtained for indefinite Kähler-Einstein metrics with non-zero scalar curvature.

Received: 6 December 1996 / Accepted: 17 March 1997