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A remark on the canonical decomposition of a connection at an irregular singular point - MaRDI portal

A remark on the canonical decomposition of a connection at an irregular singular point (Q1858619)

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scientific article; zbMATH DE number 1868558
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A remark on the canonical decomposition of a connection at an irregular singular point
scientific article; zbMATH DE number 1868558

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    A remark on the canonical decomposition of a connection at an irregular singular point (English)
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    13 February 2003
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    The author gives a short and simple argument for a new proof Malgrange's theorem: If \(\nabla\) is an absolute integrable connection on \(R\equiv Cx_1,x_2, \dots, x_n((y))\), then the Levelt-Turretin decomposition of the \(R\)-relative connection \(\nabla_{\text{rel}}\) after ramification \(y^{1/N}\) is stabilized by \(\nabla\).
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    Malgrange's theorem
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    integrable connection
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    Levelt-Turretin decomposition
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