Nash multiplicities and resolution invariants
Algebraic Geometry
2017-10-30 v2
Abstract
The Nash multiplicity sequence was defined by M. Lejeune-Jalabert as a non-increasing sequence of integers attached to a germ of a curve inside a germ of a hypersurface. M. Hickel generalized this notion and described a sequence of blow ups which allows us to compute it and study its behavior. In this paper, we show how this sequence can be used to compute some invariants that appear in algorithmic resolution of singularities.
Cite
@article{arxiv.1510.09043,
title = {Nash multiplicities and resolution invariants},
author = {A. Bravo and S. Encinas and B. Pascual-Escudero},
journal= {arXiv preprint arXiv:1510.09043},
year = {2017}
}
Comments
minor corrections, 42 pages