Toward resolution of singularities over a field of positive   characteristic (The Idealistic Filtration Program) Part II. Basic invariants   associated to the idealistic filtration and their properties
  This is Part II of the series of our papers under the title "Toward resolution of singularities over a field of positive characteristic (The Idealistic Filtration Program)". See http://arxiv.org/abs/math/0607009 for Part I. 
Hiraku Kawanoue and Kenji Matsuki