Crystalline cohomology and de Rham cohomology
  The goal of this short paper is to give a slightly different perspective on the comparison between crystalline cohomology and de Rham cohomology. Most notably, we reprove Berthelot's comparison result without using pd-stratifications, linearisations, and pd-differential operators. 
Bhargav Bhatt, Aise Johan de Jong
math.AG math.NT