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arxiv: 1409.5915 · v2 · pith:XSPFEVNRnew · submitted 2014-09-20 · 🧮 math.AG

Interpretations and differential Galois extensions

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keywords differentialconstantsextensionsfieldgaloisaccountsalgebraicallyassumptions
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We give model theoretic accounts and proofs of the existence and uniqueness of differential Galois extensions with no new constants, for logarithmic differential equations over a differential field K, when the field C of constants of K is not necessarily algebraically closed, under a variety of assumptions on C and K.

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