Characteristic polyhedra of singularities without completion: Part II

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Vincent Cossart
  • Bernd Schober

Organisationseinheiten

Externe Organisationen

  • Universität Paris-Saclay
  • Carl von Ossietzky Universität Oldenburg
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Details

OriginalspracheEnglisch
Seiten (von - bis)351-392
Seitenumfang42
FachzeitschriftCollectanea mathematica
Jahrgang72
Ausgabenummer2
Frühes Online-Datum22 Juni 2020
PublikationsstatusVeröffentlicht - Mai 2021

Abstract

Hironaka’s characteristic polyhedron is an important combinatorial object reflecting the local nature of a singularity. We prove that it can be determined without passing to the completion if the local ring is a G-ring and if additionally either it is Henselian, or a certain polynomiality condition (Pol) holds, or a mild condition (*) on the singularity holds. For example, the latter is fulfilled if the residue field is perfect.

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Characteristic polyhedra of singularities without completion: Part II. / Cossart, Vincent; Schober, Bernd.
in: Collectanea mathematica, Jahrgang 72, Nr. 2, 05.2021, S. 351-392.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Cossart V, Schober B. Characteristic polyhedra of singularities without completion: Part II. Collectanea mathematica. 2021 Mai;72(2):351-392. Epub 2020 Jun 22. doi: 10.1007/s13348-020-00291-5, 10.1007/s13348-021-00326-5
Cossart, Vincent ; Schober, Bernd. / Characteristic polyhedra of singularities without completion : Part II. in: Collectanea mathematica. 2021 ; Jahrgang 72, Nr. 2. S. 351-392.
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