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Moduli of regular holonomic D-modules with normal crossing singularities

Nitin Nitsure
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Abstract

This 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.

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BibTeXRIS

Nitin Nitsure. 1997-03-09. Moduli of regular holonomic D-modules with normal crossing singularities. https://arxiv.org/abs/alg-geom/9703012

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