Invariance of Hironaka’s characteristic polyhedron

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

Authors

  • Vincent Cossart
  • Uwe Jannsen
  • Bernd Schober

Research Organisations

External Research Organisations

  • Universite de Versailles
  • University of Regensburg
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Details

Original languageEnglish
Pages (from-to)4145-4169
Number of pages25
JournalRevista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas
Volume113
Issue number4
Early online date3 May 2019
Publication statusPublished - 1 Oct 2019

Abstract

We show that given a face of Hironaka’s characteristic polyhedron, it does only depend on the singularity and a flag defined by the linear form determining the face. As a consequence we get that certain numerical data obtained from the characteristic polyhedron are invariants of the singularity. In particular, they do not depend on an embedding.

Cite this

Invariance of Hironaka’s characteristic polyhedron. / Cossart, Vincent; Jannsen, Uwe; Schober, Bernd.
In: Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, Vol. 113, No. 4, 01.10.2019, p. 4145-4169.

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

Cossart V, Jannsen U, Schober B. Invariance of Hironaka’s characteristic polyhedron. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas. 2019 Oct 1;113(4):4145-4169. Epub 2019 May 3. doi: 10.48550/arXiv.1805.10660, 10.1007/s13398-019-00672-x
Cossart, Vincent ; Jannsen, Uwe ; Schober, Bernd. / Invariance of Hironaka’s characteristic polyhedron. In: Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas. 2019 ; Vol. 113, No. 4. pp. 4145-4169.
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