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Geometry on Arc Spaces of Algebraic Varieties

  • Conference paper
European Congress of Mathematics

Part of the book series: Progress in Mathematics ((PM,volume 201))

Abstract

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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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Leuven, Celestijnenlaan 200B, 3001, Leuven, Belgium

    Jan Denef

  2. Département de mathématiques et applications, École Normale Supérieure, 45 rue d’Ulm, 75230, Paris Cedex 05, France

    François Loeser

Authors
  1. Jan Denef
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  2. François Loeser
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Editor information

Editors and Affiliations

  1. Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193, Bellaterra, Spain

    Carles Casacuberta  & Joan Verdera  & 

  2. Departament d’Algebra i Geometria Facultat de Matemàtiques, Universitat de Barcelona, 08007, Barcelona, Spain

    Rosa Maria Miró-Roig

  3. Departament de Matemàtica Aplicada II, Universitat Politècnica de Catalunya, 08028, Barcelona, Spain

    Sebastià Xambó-Descamps

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© 2001 Springer Basel AG

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Denef, J., Loeser, F. (2001). Geometry on Arc Spaces of Algebraic Varieties. In: Casacuberta, C., Miró-Roig, R.M., Verdera, J., Xambó-Descamps, S. (eds) European Congress of Mathematics. Progress in Mathematics, vol 201. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8268-2_19

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  • DOI: https://doi.org/10.1007/978-3-0348-8268-2_19

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9497-5

  • Online ISBN: 978-3-0348-8268-2

  • eBook Packages: Springer Book Archive

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