Bloch's conjecture for Inoue surfaces with p_g=0, K^2 =7

The aim of this article is to prove Bloch’s conjecture (asserting that the group of rational equivalence classes of zero cycles of degree zero is trivial) for Inoue surfaces with p_g=0 and K^2 = 7. These surfaces can also be described as bidouble covers of the four nodal cubic, which allows to use the method of “enough automorphisms” introduced by Inose-Mizukami (in a simplified version).