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

Nitin Nitsure; Claude Sabbah

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arXiv · alg-geom/9503021

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

Nitin Nitsure·Claude Sabbah

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Abstract

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.

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BibTeX RIS

Nitin Nitsure, Claude Sabbah. 1995-03-28. Moduli of pre-$\cal D$-modules, perverse sheaves and the Riemann-Hilbert morphism -I. https://arxiv.org/abs/alg-geom/9503021

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