Moduli of pre-$\cal D$-modules, perverse sheaves and the Riemann-Hilbert morphism -I
Nitsure, Nitin ; Sabbah, Claude
HAL, hal-00816185 / Harvested from HAL
We 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.
Publié le : 1996-07-05
Classification:  [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG]
@article{hal-00816185,
     author = {Nitsure, Nitin and Sabbah, Claude},
     title = {Moduli of pre-$\cal D$-modules, perverse sheaves and the Riemann-Hilbert morphism -I},
     journal = {HAL},
     volume = {1996},
     number = {0},
     year = {1996},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00816185}
}
Nitsure, Nitin; Sabbah, Claude. Moduli of pre-$\cal D$-modules, perverse sheaves and the Riemann-Hilbert morphism -I. HAL, Tome 1996 (1996) no. 0, . http://gdmltest.u-ga.fr/item/hal-00816185/