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 , , , or , where is the unique non-abelian group of order 21. Let be a group of automorphisms of a fake projective plane . In this paper we classify all possible structures of the quotient surface and its minimal resolution.
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