Greenberg Approximation and the Geometry of Arc Spaces |
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| Authors: | Johannes Nicaise Julien Sebag |
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| Affiliation: | 1. Laboratoire Painlevé, Université Lille 1, CNRS – UMR 8524 , Villeneuve d'Ascq Cédex, France johannes.nicaise@math.univ-lille1.fr;3. IRMAR , Université Rennes 1 , Rennes Cedex, France |
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| Abstract: | We study the differential properties of generalized arc schemes and geometric versions of Kolchin's Irreducibility Theorem over arbitrary base fields. As an intermediate step, we prove an approximation result for arcs by algebraic curves. |
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| Keywords: | Algebraic geometry Arc scheme Differential algebra |
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