Džambić, Amir

Arithmetic of a fake projective plane and related elliptic surfaces

Doc. Math., J. DMV 15, 671-686 (2010)


Summary: 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.

Mathematics Subject Classification

11F23, 14J25, 14J27


fake projective planes, arithmetic ball quotients