English

Quotients of fake projective planes

Algebraic Geometry 2014-11-11 v4

Abstract

Recently, Prasad and Yeung classified all possible fundamental groups of fake projective planes. According to their result, many fake projective planes admit a nontrivial group of automorphisms, and in that case it is isomorphic to \bbZ/3\bbZ\bbZ/3\bbZ, \bbZ/7\bbZ\bbZ/7\bbZ, 7:37:3, or (\bbZ/3\bbZ)2(\bbZ/3\bbZ)^2, where 7:37:3 is the unique non-abelian group of order 21. Let GG be a group of automorphisms of a fake projective plane XX. In this paper we classify all possible structures of the quotient surface X/GX/G and its minimal resolution.

Keywords

Cite

@article{arxiv.0802.3435,
  title  = {Quotients of fake projective planes},
  author = {JongHae Keum},
  journal= {arXiv preprint arXiv:0802.3435},
  year   = {2014}
}

Comments

16 pages, with minor change of the exposition

R2 v1 2026-06-21T10:15:18.893Z