The irregularity of the direct image of some \({\mathcal D}\)-modules
type: Item
instance of: scholarly article
title: The irregularity of the direct image of some \({\mathcal D}\)-modules
zbMATH Open document ID: 1132.32005
author: Céline Roucairol
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 2007-08-10T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.prims/1166642192
review text: Let \(U\) be a smooth affine complex variety and \(f,g:U \to\mathbb C\) two regular functions. Let \(M\) be a regular holonomic \(D_U\)-module. The author studies the irregularity of the direct image complex \(f_+(Me^g)\) on the line \(\mathbb C\) and relates it to the characteristic cycles of the systems \(H^k(f,g)_+(M)\) on the plane \(\mathbb C^2\).
reviewed by: Alexandru Dimca
Mathematics Subject Classification ID: 32C38
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 5178735
zbMATH Keywords: irregular connections
zbMATH Keywords: irregularity complex
MaRDI profile type: Publication
OpenAlex ID: W1999805592
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DOI: 10.2977/PRIMS/1166642192
description: scientific article; zbMATH DE number 5178735