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arXiv:1010.0286 [math.AG]AbstractReferencesReviewsResources

Toward a geometric construction of fake projective planes

JongHae Keum

Published 2010-10-02, updated 2010-10-18Version 3

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.

Comments: 14 pages. Minor changes in Theorem 0.6 and Remark 0.7 were made
Categories: math.AG, math.GT
Subjects: 14J29, 14J27
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