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