TY  - JOUR
A1  - Džambić, Amir
T1  - Arithmetic of a fake projective plane and related elliptic surfaces
T2  - Documenta mathematica
N2  - 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.
2000 Mathematics Subject Classification: 11F23,14J25,14J27
KW  - fake projective planes
KW  - arithmetic ball quotients
Y1  - 2010
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/45147
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-451474
UR  - https://www.math.uni-bielefeld.de/documenta/vol-15/20.pdf
SN  - 1431-0635
VL  - 15
SP  - 671
EP  - 686
PB  - Deutsche Mathematiker-Vereinigung
CY  - Bielefeld
ER  -