8 citations · 46 across the 23 of their papers we have counts for
25 papers
Effective resolution of singularities
Edward Bierstone, Dima Grigoriev, Pierre D. Milman +1
Consider a projective variety (over an algebraically closed field of characteristic zero), together with a (reduced) simple normal crossings divisor $E \su…
solutions of semialgebraic or definable equations
Edward Bierstone, Jean-Baptiste Campesato, Pierre D. Milman
We address the question of whether geometric conditions on the given data can be preserved by a solution in (1) the Whitney extension problem, and (2) the Brenner-Fefferman-Hochste…
Malgrange division by quasianalytic functions
Edward Bierstone, Pierre D. Milman
Quasianalytic classes are classes of infinitely differentiable functions that satisfy the analytic continuation property enjoyed by analytic functions. Two general examples are qua…
Resolution of singularities of the cotangent sheaf of a singular variety
Andre Belotto da Silva, Edward Bierstone, Vincent Grandjean +1
The main problem studied is resolution of singularities of the cotangent sheaf of a complex- or real-analytic variety Y (or of an algebraic variety Y over a field of characteristic…
Arc-quasianalytic functions
Edward Bierstone, Pierre D. Milman, Guillaume Valette
We work with quasianalytic classes of functions. Consider a real-valued function y = f(x) on an open subset U of Euclidean space, which satisfies a quasianalytic equation G(x, y) =…
Desingularization by blowings-up avoiding simple normal crossings
Edward Bierstone, Sergio Da Silva, Pierre D. Milman +1
It is shown that, for any reduced algebraic variety in characteristic zero, one can resolve all but simple normal crossings (snc) singularities by a finite sequence of blowings-up…