De Rham cohomology of rigid spaces
  We define de Rham cohomology groups for rigid spaces over non-archimedean fields of characteristic zero, based on the notion of dagger space. We establish some functorial properties and a finiteness result, and discuss the relation to the rigid cohomology as defined by P. Berthelot. 
Elmar Grosse-Kl\"onne
math.AG math.NT