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3 results

  • Five-Dimensional Weakly Exceptional Quotient Singularities

  • Dmitrijs Sakovics
  • Journal:
    Proceedings of the Edinburgh Mathematical Society / Volume 57 / Issue 1 / February 2014
    Published online by Cambridge University Press:
    23 December 2013, pp. 269-279
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  • A singularity is said to be weakly exceptional if it has a unique purely log terminal blow-up. This is a natural generalization of the surface singularities of types Dn, E6, E7 and E8. Since this idea was introduced, quotient singularities of this type have been classified in dimensions up to at most 4. This note extends that classification to dimension 5.

  • Motivic Integration, Quotient Singularities and the McKay Correspondence

  • Jan Denef, François Loeser
  • Journal:
    Compositio Mathematica / Volume 131 / Issue 3 / May 2002
    Published online by Cambridge University Press:
    04 December 2007, pp. 267-290
    Print publication:
    May 2002
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  • The present work is devoted to the study of motivic integration on quotient singularities. We give a new proof of a form of the McKay correspondence previously proved by Batyrev. The paper contains also some general results on motivic integration on arbitrary singular spaces.