Details
| Original language | English |
|---|---|
| Pages (from-to) | 351-392 |
| Number of pages | 42 |
| Journal | Collectanea mathematica |
| Volume | 72 |
| Issue number | 2 |
| Early online date | 22 Jun 2020 |
| Publication status | Published - May 2021 |
Abstract
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Collectanea mathematica, Vol. 72, No. 2, 05.2021, p. 351-392.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Characteristic polyhedra of singularities without completion
T2 - Part II
AU - Cossart, Vincent
AU - Schober, Bernd
N1 - Funding information: The second named author was supported by Research Fellowships of the Deutsche Forschungsgemeinschaft (SCHO 1595/1-1 and SCHO 1595/2-1).
PY - 2021/5
Y1 - 2021/5
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85086771116&partnerID=8YFLogxK
U2 - 10.1007/s13348-020-00291-5
DO - 10.1007/s13348-020-00291-5
M3 - Article
AN - SCOPUS:85086771116
VL - 72
SP - 351
EP - 392
JO - Collectanea mathematica
JF - Collectanea mathematica
SN - 0010-0757
IS - 2
ER -