V. Rotger, Abelian varieties with quaternionic multiplication and their moduli, Departament d´Àlgebra i Geometria, Universitat de Barcelona, gener 2003 [数论专业博士学位论文]

In this monograph, we explore several arithmetical, geometrical and diophantinequestions concerning quaternion algebras, abelian varieties and Shimuravarieties and the rich relationships existing between them. Specifically, thesenotes are focused on² Abelian varieties whose ring of endomorphisms is a maximal order in atotally indefinite quaternion algebra B over a totally real number field..