2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/230375We obtain new results on the geometry of Hilbert modular varieties in positive characteristic and morphisms between them. Using these results and methods of rigid geometry, we develop a theory of canonical subgroups for abelian varieties with real multiplication.56 pagesNumber TheoryAlgebraic Geometry11G10, 11G18, 11F85, 11F33text