Moduli of pre-$\cal D$-modules, perverse sheaves and the Riemann-Hilbert morphism -I

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/150001We construct a moduli scheme for semistable pre-$\D$-modules with prescribed singularities and numerical data on a smooth projective variety. These pre-$\D$-modules are to be viewed as regular holonomic $\D$-modules with `level structure'. We also construct a moduli scheme for perverse sheaves on the variety with prescribed singularities and other numerical data, and represent the de Rham functor (which gives the Riemann-Hilbert correspondence) by an analytic morphism between the two moduli schemes.LaTeX, 28 pagesAlgebraic Geometry14D20 (Primary) 14F10, 32G81, 32C38 (Secondary)Moduli of pre-$\cal D$-modules, perverse sheaves and the Riemann-Hilbert morphism -Itext