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- W1772383035 abstract "We describe a Picard-Vessiot theory for differential fields with non algebraically closed fields of constants. As a technique for constructing and classifying Picard-Vessiot extensions, we develop a Galois descent theory. We utilize this theory to prove that every linear algebraic group $G$ over $mathbb{R}$ occurs as a differential Galois group over $mathbb{R}(z)$. The main ingredient of the proof is the Riemann-Hilbert correspondence for regular singular differential equations over $mathbb{C}(z)$." @default.
- W1772383035 created "2016-06-24" @default.
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- W1772383035 date "2008-02-20" @default.
- W1772383035 modified "2023-10-11" @default.
- W1772383035 title "The inverse problem of differential Galois theory over the field R(z)" @default.
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