5 citations · 7 across the 3 of their papers we have counts for
4 papers · 1 filter
Uniform linear bound in Chevalley's lemma
J. Adamus, E. Bierstone, P. D. Milman
We obtain a uniform linear bound for the Chevalley function at a point in the source of an analytic mapping that is regular in the sense of Gabrielov. There is a version of Chevall…
Desingularization of toric and binomial varieties
Edward Bierstone, Pierre D. Milman
We give a combinatorial algorithm for equivariant embedded resolution of singularities of a toric variety defined over a perfect field. The algorithm is realized by a finite succes…
Desingularization algorithms I. Role of exceptional divisors
Edward Bierstone, Pierre D. Milman
The article is about a "desingularization principle" common to various canonical desingularization algorithms in characteristic zero, and the roles played by the exceptional diviso…
Differentiable functions defined in closed sets. A problem of Whitney
E. Bierstone, P. D. Milman, W. Pawlucki
In 1934, Whitney raised the question of how to recognize whether a function f defined on a closed subset X of Euclidean space is the restriction of a function that is continuously…