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Regular singular differential equations

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Author(s): Pierre Deligne ; Timothy Hosgood (Translator)
Series: Lecture Notes in Mathematics 163
Publisher: Springer
Year: 2022

Language: English
Pages: 95

Introduction
Dictionary
Local systems and the fundamental group
Integrable connections and local systems
Translation in terms of first-order partial differential equations
nth-order differential equations
Second-order differential equations
Multiform functions of finite determination
Regular connections
Regularity in dimension 1
Growth conditions
Logarithmic poles
Regularity in dimension n
Existence theorem
Comparison theorem
Regularity theorem
Applications and examples
Functions in the Nilsson class
The monodromy theorem (by Brieskorn)