Greenberg Approximation and the Geometry of Arc Spaces
Greenberg Approximation and the Geometry of Arc Spaces
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. Key Words: Algebraic geometryArc schemeDifferential algebra2000 Mathematics Subject Classification: Primary 14E18Secondary 12H05