A second-order linear system with Fuchsian singularities on \(\mathbb{C} P^m\) (Q1776261)
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scientific article; zbMATH DE number 2170220
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A second-order linear system with Fuchsian singularities on \(\mathbb{C} P^m\) |
scientific article; zbMATH DE number 2170220 |
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A second-order linear system with Fuchsian singularities on \(\mathbb{C} P^m\) (English)
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23 May 2005
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The paper is devoted to second-order linear systems of the form \(dY= \omega Y\) with Fuchsian singularities, where \(Y\) is the unknown second-order square matrix, \(\omega\) is a differential 1-form and the corresponding nonsingular irreducible manifolds \(M_j\) form a pencil of algebraic surfaces. It is proved that under certain conditions via a transformation the corresponding exponential matrices are entire matrix functions and the representation is explicitly given.
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Fuchsian singularities
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irreducible manifolds
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differential forms
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0.7606164216995239
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