JournalsrmiVol. 25, No. 3pp. 995–1054

Algorithmic equiresolution of deformations of embedded varieties

  • Augusto Nobile

    Louisiana State University, Baton Rouge, USA
Algorithmic equiresolution of deformations of embedded varieties cover
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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.

Cite this article

Augusto Nobile, Algorithmic equiresolution of deformations of embedded varieties. Rev. Mat. Iberoam. 25 (2009), no. 3, pp. 995–1054

DOI 10.4171/RMI/588