Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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UNIFORMIZATION OF FAKE PROJECTIVE FOUR SPACES

SAI-KEE YEUNG

pp. 199-205

Abstract

We give criteria for a fake projective four space to be uniformized by the complex hyperbolic space of complex dimension four. This is achieved through a classification of the Chern numbers of a rational homology complex projective space of complex dimension four.