A Strictly Decreasing Invariant for Resolution of Singularities in Dimension Two

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Vincent Cossart
  • Bernd Schober

Research Organisations

External Research Organisations

  • Universite de Versailles
  • Carl von Ossietzky University of Oldenburg
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Details

Original languageEnglish
Pages (from-to)217-280
Number of pages64
JournalPublications of the Research Institute for Mathematical Sciences
Volume56
Issue number2
Publication statusPublished - 4 Apr 2020

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

A Strictly Decreasing Invariant for Resolution of Singularities in Dimension Two. / Cossart, Vincent; Schober, Bernd.
In: Publications of the Research Institute for Mathematical Sciences, Vol. 56, No. 2, 04.04.2020, p. 217-280.

Research output: Contribution to journal › Article › Research › peer review

Cossart V, Schober B. A Strictly Decreasing Invariant for Resolution of Singularities in Dimension Two. Publications of the Research Institute for Mathematical Sciences. 2020 Apr 4;56(2):217-280. doi: 10.48550/arXiv.1411.4452, 10.4171/PRIMS/56-2-1
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