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October, 2009 Algorithmic equiresolution of deformations of embedded varieties
Augusto Nobile
Rev. Mat. Iberoamericana 25(3): 995-1054 (October, 2009).


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.


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Augusto Nobile . "Algorithmic equiresolution of deformations of embedded varieties." Rev. Mat. Iberoamericana 25 (3) 995 - 1054, October, 2009.


Published: October, 2009
First available in Project Euclid: 3 November 2009

zbMATH: 1207.14009
MathSciNet: MR2590692

Primary: 14B05 , 14D99 , 14E15 , 14E99

Keywords: deformation , resolution of singularities , simultaneous resolution

Rights: Copyright © 2009 Departamento de Matemáticas, Universidad Autónoma de Madrid

Vol.25 • No. 3 • October, 2009
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