2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59498We prove that the fake projective planes constructed from the diadic discrete group discovered by Cartwright, Mantero, Steger, and Zappa are connected Shimura varieties associated to a certain unitary group. The necessary Shimura data, as well as the unitary group, are explicitly described. We also give a field of definition of these fake projective planes.14 pages, LaTeX2e + Euler fontAlgebraic Geometry14G35; 14J29, 11G15, 11Q25Arithmetic structure of CMSZ fake projective planestext