Bloch's conjecture for Generalized Burniat Type surfaces with $p_g=0$
  The aim of this article is to prove Bloch's conjecture, asserting that the group of rational equivalence classes of zero cycles of degree 0 is trivial for surfaces with geometric genus zero, for regular generalized Burniat type surfaces. The technique is the method of "enough automorphisms" introduced by Inose-Mizukami in a simplified version due to the first author. 
Ingrid Bauer, Davide Frapporti
math.AG