8 citations · 56 across the 30 of their papers we have counts for
35 papers
solutions of semialgebraic equations on curves
Edward Bierstone, Jean-Baptiste Campesato
Consider a system of equations on a subset of , where and are matrix- and vector-valued semialgebraic functions on , and t…
Formal splitting and stack-theoretic normal crossings desingularization
André Belotto da Silva, François Bernard, Edward Bierstone
We show that stack-theoretic resolution of singularities preserving normal crossings (partial desingularization) by weighted blowings-up, can be obtained in a simple direct way fro…
Group-circulant singularities and partial desingularization preserving normal crossings
André Belotto da Silva, Edward Bierstone
The subject is partial desingularization preserving the normal crossings singularities of an algebraic or analytic variety X (over the complex field or over an uncountable algebrai…
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…
Partial desingularization
André Belotto da Silva, Edward Bierstone, Ramon Ronzon Lavie
We address the following question of partial desingularization preserving normal crossings. Given an algebraic (or analytic) variety X in characteristic zero, can we find a finite…
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…