Title: The geometric and arithmetic volume of Shimura varieties of orthogonal type
Subjects: Shimura varieties, Arithmetical algebraic geometry, Number theory -- Discontinuous groups and automorphic forms -- Theta series; Weil representation; theta correspondences, Number theory -- Discontinuous groups and automorphic forms -- Relations with algebraic geometry and topology, Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Arithmetic aspects of modular and Shimura varieties, Algebraic geometry -- Arithmetic problems. Diophantine geometry -- Modular and Shimura varieties, Algebraic geometry -- Arithmetic problems. Diophantine geometry -- Arithmetic varieties and schemes; Arakelov theory; heights, Geometry, algebraic, Number theory, Discontinuous groups and automorphic forms, Theta series; Weil representation; theta correspondences, Relations with algebraic geometry and topology, Arithmetic algebraic geometry (Diophantine geometry), Arithmetic aspects of modular and Shimura varieties, Algebraic geometry, Arithmetic problems. Diophantine geometry, Modular and Shimura varieties, Arithmetic varieties and schemes; Arakelov theory; heights