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Working paper

On the cohomology of Gushel-Mukai sixfolds

Kuznetsov A. G., Debarre O.
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.