The irregularity of the direct image of some \({\mathcal D}\)-modules (Q998131)
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scientific article; zbMATH DE number 5178735
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The irregularity of the direct image of some \({\mathcal D}\)-modules |
scientific article; zbMATH DE number 5178735 |
Statements
The irregularity of the direct image of some \({\mathcal D}\)-modules (English)
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10 August 2007
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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 \(\mathbb C^2\).
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irregular connections
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irregularity complex
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