2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/154643We compare the asymptotic grows of the number of rational points on modular varieties of D-elliptic sheaves over finite fields to the grows of their Betti numbers as the degree of the level tends to infinity. This is a generalization to higher dimensions of a well-known result for modular curves. As a consequence of the main result, we also produce a new asymptotically optimal sequence of curves.19 pages; to appear in CrelleNumber TheoryAlgebraic Geometry14G05; 11G25text