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arXiv · 1805.10660

Invariance of Hironaka's characteristic polyhedron

Vincent Cossart·Uwe Jannsen·Bernd Schober
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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.

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Vincent Cossart, Uwe Jannsen, Bernd Schober. 2018-05-27. Invariance of Hironaka's characteristic polyhedron. https://arxiv.org/abs/1805.10660

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