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arXiv:1606.09384 [math.AG]AbstractReferencesReviewsResources

On the cohomology of Gushel-Mukai sixfolds

Olivier Debarre, Alexander Kuznetsov

Published 2016-06-30Version 1

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.

Comments: 13 pages
Categories: math.AG
Subjects: 14J45, 14M20, 14J40, 14J28
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