A note on the Brauer group and the Brauer-Manin set of a product
arXiv:1909.06531 · doi:10.1112/blms.12373
Abstract
We generalize the results of Skorobogatov and Zarhin considering the commutativity of Brauer groups (and Brauer-Manin sets) with taking product of two varieties, by relaxing the condition that varieties are projective.
10 pages, 20190703/3e323ffe, to appear in the Bulletin of the London Mathematical Society