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Greenberg approximation and the geometry of arc spaces

Authors :
Nicaise, Johannes
Sebag, Julien
Publication Year :
2009

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.

Subjects

Subjects :
Mathematics - Algebraic Geometry

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.0901.1806
Document Type :
Working Paper

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