On the cohomology of Gushel-Mukai sixfolds
  We provide a stable rationality construction for some smooth complex Gushel-Mukai varieties of dimension 6. As a consequence, we compute the integral singular cohomology of any smooth Gushel-Mukai sixfold and in particular, show that it is torsion-free. 
Olivier Debarre and Alexander Kuznetsov
math.AG