Revista Matemática Iberoamericana

Algorithmic equiresolution of deformations of embedded varieties

Augusto Nobile
Source: Rev. Mat. Iberoamericana Volume 25, Number 3 (2009), 995-1054.

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.

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Primary Subjects: 14B05, 14E15, 14E99, 14D99
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.rmi/1257258100
Zentralblatt MATH identifier: 05663369
Mathematical Reviews number (MathSciNet): MR2590692

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