JournalslemVol. 60, No. 1/2pp. 177–224

Alternative invariants for the embedded resolution of purely inseparable surface singularities

  • Herwig Hauser

    Universität Innsbruck, Austria
  • Dominique Wagner

    Universität Innsbruck, Austria
Alternative invariants for the embedded resolution of purely inseparable surface singularities cover

Abstract

We propose two local invariants for the inductive proof of the embedded resolution of purely inseparable surface singularities of order equal to the characteristic. The invariants are built on a detailed analysis of the so called “kangaroo phenomenon” in positive characteristic. They thus measure accurately the algebraic complexity of an equation defining a surface singularity in characteristic pp. As the invariants are shown to drop after each blowup, induction applies.

Cite this article

Herwig Hauser, Dominique Wagner, Alternative invariants for the embedded resolution of purely inseparable surface singularities. Enseign. Math. 60 (2014), no. 1, pp. 177–224

DOI 10.4171/LEM/60-1/2-8