JournalsprimsVol. 56, No. 2pp. 217–280

A Strictly Decreasing Invariant for Resolution of Singularities in Dimension Two

  • Vincent Cossart

    Université de Versailles Saint-Quentin, Versailles, France

  • Bernd Schober

    Leibniz Universität Hannover and Carl von Ossietzky Universität Oldenburg, Germany
A Strictly Decreasing Invariant for Resolution of Singularities in Dimension Two cover

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Abstract

We construct a local invariant for resolution of singularities of two-dimensional excellent Noetherian schemes with boundary. We prove that the invariant strictly decreases at every step of the algorithm of Cossart, Jannsen and Saito.

Cite this article

Vincent Cossart, Bernd Schober, A Strictly Decreasing Invariant for Resolution of Singularities in Dimension Two. Publ. Res. Inst. Math. Sci. 56 (2020), no. 2, pp. 217–280

DOI 10.4171/PRIMS/56-2-1