Equimultiplicity, algebraic elimination, and blowing-up
Algebraic Geometry
2013-12-31 v1
Abstract
Given a variety over a perfect field, we study the partition defined on by the multiplicity (into equimultiple points), and the effect of blowing up at smooth equimultiple centers. Over fields of characteristic zero we prove resolution of singularities by using the multiplicity as an invariant, instead of the Hilbert Samuel function.
Cite
@article{arxiv.1312.7836,
title = {Equimultiplicity, algebraic elimination, and blowing-up},
author = {Orlando E. Villamayor U},
journal= {arXiv preprint arXiv:1312.7836},
year = {2013}
}