Addendum to `Fake Projective Planes'

Abstract

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.

A more refined classification is given in the new version

References in corpus (1)

• Fake projective planes

Cited by in corpus (7)

• Quotients of products of curves, new surfaces with $p_g=0$ and their fundamental groups
• Explicit equations of a fake projective plane
• New explicit constructions of surfaces of general type
• Fake Real Planes: exotic affine algebraic models of ${\mathbb{R}}^2$
• Divisors on surfaces isogenous to a product of mixed type with $p_g=0$
• Exceptional collection of objects on some fake projective planes
• Rigidity of Spreadings and Fields of Definition