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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Anderson, Dave and Stapledon, Alan 2013. Arc Spaces and Equivariant Cohomology. Transformation Groups, Vol. 18, Issue. 4, p. 931.


    de Fernex, Tommaso 2013. Three-dimensional counter-examples to the Nash problem. Compositio Mathematica, Vol. 149, Issue. 09, p. 1519.


    de Fernex, Tommaso 2013. Birationally rigid hypersurfaces. Inventiones mathematicae, Vol. 192, Issue. 3, p. 533.


    Lejeune-Jalabert, Monique Mourtada, Hussein and Reguera, Ana 2013. Jet schemes and minimal embedded desingularization of plane branches. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, Vol. 107, Issue. 1, p. 145.


    Ein, Lawrence and Popa, Mihnea 2012. Extension of sections via adjoint ideals. Mathematische Annalen, Vol. 352, Issue. 2, p. 373.


    More, Yogesh 2009. Arc valuations on smooth varieties. Journal of Algebra, Vol. 321, Issue. 10, p. 2943.


    Petrov, Peter 2009. Nash problem for stable toric varieties. Mathematische Nachrichten, Vol. 282, Issue. 11, p. 1575.


    Stapledon, A. 2009. Motivic Integration on Toric Stacks. Communications in Algebra, Vol. 37, Issue. 11, p. 3943.


    Segers, Dirk Van Proeyen, Lise and Veys, Willem 2007. The motivic zeta function and its smallest poles. Journal of Algebra, Vol. 317, Issue. 2, p. 851.


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Contact loci in arc spaces

  • Lawrence Ein (a1), Robert Lazarsfeld (a2) and Mircea Mustaţa (a3)
  • DOI: http://dx.doi.org/10.1112/S0010437X04000429
  • Published online: 01 December 2007
Abstract

We give a geometric description of the loci in the arc space defined by order of contact with a given subscheme, using the resolution of singularities. This induces an identification of the valuations defined by cylinders in the arc space with divisorial valuations. In particular, we recover the description of invariants coming from the resolution of singularities in terms of arcs and jets.

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Compositio Mathematica
  • ISSN: 0010-437X
  • EISSN: 1570-5846
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