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Invariance of Hironaka’s characteristic polyhedron

Cossart, Vincent ; Jannsen, Uwe ; Schober, Bernd


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.

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