Singularities in positive characteristic, stratification and simplification of the singular locus
Algebraic Geometry
2011-06-14 v3
Abstract
We introduce an upper semi-continuous function that stratifies the highest multiplicity locus of a hypersurface in arbitrary characteristic (over a perfect field). The blow-up along the maximum stratum defined by this function leads to a form of simplification of the singularities, also known as a reduction to the monomial case.
Cite
@article{arxiv.0807.4308,
title = {Singularities in positive characteristic, stratification and simplification of the singular locus},
author = {Ana Bravo and Orlando Villamayor},
journal= {arXiv preprint arXiv:0807.4308},
year = {2011}
}
Comments
Several typos corrected. Minor improvements on the presentation of the published paper