Moduli of regular holonomic D-modules with normal crossing singularities

Nitsure, Nitin (1999) Moduli of regular holonomic D-modules with normal crossing singularities Duke Mathematical Journal, 99 (1). pp. 1-39. ISSN 0012-7094

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Related URL: http://dx.doi.org/10.1215/S0012-7094-99-09901-5

Abstract

This paper solves the global moduli problem for regular holonomic Dmodules 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.

Item Type:Article
Source:Copyright of this article belongs to Duke University Press.
ID Code:30805
Deposited On:27 Dec 2010 08:13
Last Modified:17 May 2016 13:24

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