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arxiv: 1007.3047 · v1 · submitted 2010-07-19 · 🧮 math.NT · math.AG

Galois descent in Galois theories

classification 🧮 math.NT math.AG
keywords galoistheoriesabelianapplicationsarithmeticdescentdescriptionsdifferential
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Inspired by Kummer theory on abelian varieties, we give similar looking descriptions of the Galois groups occuring in the differential Galois theories of Picard-Vessiot, Kolchin and Pillay, and mention some arithmetic applications.

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