On the cohomology of Gushel-Mukai sixfolds
Abstract
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- June 2016
- DOI:
- 10.48550/arXiv.1606.09384
- arXiv:
- arXiv:1606.09384
- Bibcode:
- 2016arXiv160609384D
- Keywords:
-
- Mathematics - Algebraic Geometry;
- 14J45;
- 14M20;
- 14J40;
- 14J28
- E-Print:
- 13 pages