A polyhedral approach to the invariant of Bierstone and Milman
  Based on the author's work in [Sc2] we deduce that the invariant introduced by Bierstone and Milman in order to give a proof for constructive resolution of singularities in characteristic zero can be achieved purely by considering certain polyhedra and their projections. 
Bernd Schober (Univ. de Versailles)
math.AG