Geometry on arc spaces of algebraic varieties

Mathematics – Algebraic Geometry

Scientific paper

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22 pages. To appear in Proceedings of 3rd ECM, Barcelona, July 10-14, 2000

Scientific paper

This paper is a survey on arc spaces, a recent topic in algebraic geometry
and singularity theory. The geometry of the arc space of an algebraic variety
yields several new geometric invariants and brings new light to some classical
invariants.

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