Abelian surfaces with QM Adelic framework Algebra Associative Rings and Algebras Group Theory and Generalizations Groups & group theory Hurwitz order Idelic zeta functions Lattices and integral quadratic forms Noncommutative algebra Number Theory Number theory Open Access Quaternion algebras Quaternion algebras over global fields Quaternion algebras over local fields Quaternion ideals Quaternion orders Quaternions Quaternions and quadratic forms Quaternions arithmetic geometry Quaternions arithmetic groups Quaternions hyperbolic geometry Simple algebras and involutions Supersingular elliptic curves Ternary quadratic forms