Generalized Differential Galois Theory

2007/07/24 by Peter Landesman, Landesman, Peter
Computer Science · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.0707.3583

openalex publication_date 2007/07/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A Galois theory of differential fields with parameters is developed in a manner that generalizes Kolchin's theory. It is shown that all connected differential algebraic groups are Galois groups of some appropriate differential field extension.

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