Hilbert modular threefolds, Global theory and resolution of singularities (algebro-geometric aspects), Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces, plurigenera, Singularities in algebraic geometry, Article, rationality of defects series of isolated singularity, 510.mathematics, Cubic and quartic extensions, cusp singularities, \(3\)-folds, Galois cubic number fields, Singularities of surfaces or higher-dimensional varieties