Correction to: Characteristic polyhedra of singularities without completion: part II

Cossart, Vincent ^[1] ; Schober, Bernd ^[1]
1. [1] Laboratoire de Mathémathiques de Versailles CNRS UMR 8100, Université Paris-Saclay, 45 avenue des États-Unis, 78035, Versaills Cedex, France
Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 73, Fasc. 3, 2022, págs. 565-566
Idioma: inglés
DOI: 10.1007/s13348-021-00326-5
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Resumen
- 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.