Greenberg approximation and the geometry of arc spaces
Algebraic Geometry
2009-01-14 v1
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.
Keywords
Cite
@article{arxiv.0901.1806,
title = {Greenberg approximation and the geometry of arc spaces},
author = {Johannes Nicaise and Julien Sebag},
journal= {arXiv preprint arXiv:0901.1806},
year = {2009}
}