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math.AG2016★ 2 cited
On the cohomology of Gushel-Mukai sixfolds
Olivier Debarre, Alexander Kuznetsov
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 smo…
math.AG2016★ 26 cited
Gushel-Mukai varieties: linear spaces and periods
Olivier Debarre, Alexander Kuznetsov
Beauville and Donagi proved in 1985 that the primitive middle cohomology of a smooth complex cubic fourfold and the primitive second cohomology of its variety of lines, a smooth hy…