Invariance of Hironaka's characteristic polyhedron
classification
🧮 math.AG
math.AC
keywords
characteristicpolyhedrondependfacehironakasingularitycertainconsequence
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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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