Let be the complement of a smooth anticanonical divisor in a del Pezzo surface of degree at most 7 over a number field . We show that there is an effective uniform bound for the size of the Brauer group of in terms of the degree of .
Martin Bright. Julian Lyczak. "A Uniform Bound on the Brauer Groups of Certain log K3 Surfaces." Michigan Math. J. 68 (2) 377 - 384, June 2019. https://doi.org/10.1307/mmj/1550480562