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arXiv · 1010.0286

Toward a geometric construction of fake projective planes

JongHae Keum
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Abstract

We give a criterion for a projective surface to become a quotient of a fake projective plane. We also give a detailed information on the elliptic fibration of a $(2,3)$-elliptic surface that is the minimal resolution of a quotient of a fake projective plane. As a consequence, we give a classification of ${\mathbb Q}$-homology projective planes with cusps only.

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JongHae Keum. 2010-10-02. Toward a geometric construction of fake projective planes. https://arxiv.org/abs/1010.0286

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