Invariance of Hironaka's characteristic polyhedron

2018/05/27 by Cossart, Vincent, Jannsen, Uwe, Schober, Bernd · 2 citations
#Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1805.10660

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.

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