2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72539We consider principally polarized abelian varieties with quaternionic multiplication over number fields and we study the field of moduli of their endomorphisms in relation to the set of rational points on suitable Shimura varieties.This version corrects Proposition 4.2 and some misprints in section 4 that appeared in the published versionNumber TheoryAlgebraic Geometry11G18; 14G35text