Greenberg approximation and the geometry of arc spaces

Details Greenberg approximation and the geometry of arc spaces Greenberg approximation and the geometry of arc spaces

2009-01-13

arxiv.org/abs/0901.1806v1

Mathematics

Algebraic Geometry

Scientific paper

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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