Sparsity of p-divisible unramified liftings for subvarieties of abelian   varieties with trivial stabilizer
  By means of the theory of strongly semistable sheaves and of the theory of the Greenberg transform, we generalize to higher dimensions a result on the sparsity of p-divisible unramified liftings which played a crucial role in Raynaud's proof of the Manin-Mumford conjecture for curves. We also give a bound for the number of irreducible components of the first critical scheme of subvarieties of an abelian variety which are complete intersections. 
Danny Scarponi
math.AG