2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66369A differential algebra of finite type over a field k is a filtered algebra A, such that the associated graded algebra is finite over its center, and the center is a finitely generated k-algebra. The prototypical example is the algebra of differential operators on a smooth affine variety, when char k = 0. We study homological and geometric properties of differential algebras of finite type. The main results concern the rigid dualizing complex over such an algebra A: its existence, structure and variance properties. We also define and study perverse A-modules, and show how they are related to the Auslander property of the rigid dualizing complex of A.38 pages; minor changes; final version, to appear in Compositio MathRings and AlgebrasAlgebraic GeometryPrimary: 16D90; Secondary: 18G10, 16S32, 16W70, 16U20text