Resolution Algorithms and Deformations
Algebraic Geometry
2013-04-10 v1
Abstract
An algorithm for resolution of singularities in characteristic zero is described. It is expressed in terms of multi-ideals, that essentially are defined as a finite sequence of pairs, each one consiting of a sheaf of ideals and a positive integer. This approach is particularly simple and, as indicated by some results shown here, it seems suitable for applications to a good theory of simultaneous algorithmic resolution of singularities, specially for families parametrized by the spectrum of an artinian ring.
Cite
@article{arxiv.1304.2665,
title = {Resolution Algorithms and Deformations},
author = {Augusto Nobile},
journal= {arXiv preprint arXiv:1304.2665},
year = {2013}
}