Addendum to `Fake Projective Planes'

Mathematics – Algebraic Geometry

Scientific paper

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A more refined classification is given in the new version

Scientific paper

The addendum updates the results presented in the paper `Fake Projective Plane, Invent Math 168, 321-370 (2007)' and makes some additions and corrections. The fake projective planes are classified into twenty six classes. Together with a recent work of Donald Cartwright and Tim Steger, there is now a complete list of fake projective planes. There are precisely one hundred fake projective planes as complex surfaces classified up to biholomorphism.

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