Toward a geometric construction of fake projective planes

Details Toward a geometric construction of fake projective planes Toward a geometric construction of fake projective planes

2010-10-02

arxiv.org/abs/1010.0286v3

Mathematics

Algebraic Geometry

14 pages. Minor changes in Theorem 0.6 and Remark 0.7 were made

Scientific paper

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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