2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/150286This paper solves the global moduli problem for regular holonomic D-modules with normal crossing singularities on a nonsingular complex projective variety. This is done by introducing a level structure (which gives rise to ``pre-D-modules''), and then introducing a notion of (semi-)stability and applying Geometric Invariant Theory to construct a coarse moduli scheme for semistable pre-D-modules. A moduli is constructed also for the corresponding perverse sheaves, and the Riemann-Hilbert correspondence is represented by an analytic morphism between these moduli spaces.LaTeX, 41 pages, 124 KBAlgebraic Geometry14D20, 14F10, 32G81, 32C38text