Invariance of Hironaka's characteristic polyhedron
Algebraic Geometry
2018-05-29 v1 Commutative Algebra
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.
Keywords
Cite
@article{arxiv.1805.10660,
title = {Invariance of Hironaka's characteristic polyhedron},
author = {Vincent Cossart and Uwe Jannsen and Bernd Schober},
journal= {arXiv preprint arXiv:1805.10660},
year = {2018}
}
Comments
29 pages, 5 figures