Invariance of Hironaka's characteristic polyhedron

Cossart, Vincent and Jannsen, Uwe and Schober, Bernd (2019) Invariance of Hironaka's characteristic polyhedron. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 113 (4). pp. 4145-4169. ISSN 1578-7303, 1579-1505

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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.

Item Type: Article
Uncontrolled Keywords: SINGULARITIES; RIDGE; Invariants for singularities; Hironaka's characteristic polyhedra; Resolution of singularities
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Uwe Jannsen
Depositing User: Dr. Gernot Deinzer
Date Deposited: 06 Apr 2020 08:56
Last Modified: 06 Apr 2020 08:56
URI: https://pred.uni-regensburg.de/id/eprint/26188

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