Geometry on Arc Spaces of Algebraic Varieties

@article{Denef2001GeometryOA,
  title={Geometry on Arc Spaces of Algebraic Varieties},
  author={Jan Denef and François Loeser},
  journal={arXiv: Algebraic Geometry},
  year={2001},
  volume={1},
  pages={327-348}
}
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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