English

Addendum to `Fake Projective Planes'

Algebraic Geometry 2015-05-13 v3 Number Theory

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.

Keywords

Cite

@article{arxiv.0906.4932,
  title  = {Addendum to `Fake Projective Planes'},
  author = {Gopal Prasad and Sai-Kee Yeung},
  journal= {arXiv preprint arXiv:0906.4932},
  year   = {2015}
}

Comments

A more refined classification is given in the new version

R2 v1 2026-06-21T13:18:16.778Z