English

Algorithmic equiresolution of deformations of embedded varieties

Algebraic Geometry 2009-04-24 v1

Abstract

A theory of simultaneous resolution of singularities for families of embedded varieties (over a field of characteristic zero) parametrized by the spectrum of a suitable artinian ring, and compatible with a given algorithm of resolution, is presented. As usually, this a simple consequence of a similar theory for analogous families of basic objects, to which the main portion of this article is devoted.

Keywords

Cite

@article{arxiv.0904.3624,
  title  = {Algorithmic equiresolution of deformations of embedded varieties},
  author = {Augusto Nobile},
  journal= {arXiv preprint arXiv:0904.3624},
  year   = {2009}
}
R2 v1 2026-06-21T12:54:20.493Z