Arithmetic of a fake projective plane and related elliptic surfaces
Algebraic Geometry
2008-11-21 v3
Abstract
The purpose of the present paper is to explain the fake projective plane constructed by J.H. Keum from the point of view of arithmetic ball quotients. Beside the ball quotient associated with the fake projective plane, we also analize two further naturally related ball quotients whose minimal desingularizations lead to two elliptic surfaces, one already considered by J.H. Keum as well as the one constructed by M.N. Ishida in terms of p-adic uniformization.
Keywords
Cite
@article{arxiv.0803.0645,
title = {Arithmetic of a fake projective plane and related elliptic surfaces},
author = {Amir Dzambic},
journal= {arXiv preprint arXiv:0803.0645},
year = {2008}
}
Comments
15 pages, proofs of proposition 4.1 and lemma 5.1 improved, one remark added, some typing errors removed