Geodesic
Arithmetic of a fake projective plane and related elliptic surfaces
Documenta mathematica, Tome 15 (2010), pp. 671-686
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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.
DOI : 10.4171/dm/310
Classification : 11F23, 14J25, 14J27
Mots-clés : fake projective planes, arithmetic ball quotients 
@article{10_4171_dm_310,
     author = {Amir D\v{z}ambi\'c},
     title = {Arithmetic of a fake projective plane and related elliptic surfaces},
     journal = {Documenta mathematica},
     pages = {671--686},
     year = {2010},
     volume = {15},
     doi = {10.4171/dm/310},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/310/}
}
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%T Arithmetic of a fake projective plane and related elliptic surfaces
%J Documenta mathematica
%D 2010
%P 671-686
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Amir Džambić. Arithmetic of a fake projective plane and related elliptic surfaces. Documenta mathematica, Tome 15 (2010), pp. 671-686. doi: 10.4171/dm/310

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