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A Uniform Bound on the Brauer Groups of Certain log K3 Surfaces

Martin Bright, Julian Lyczak
2019 The Michigan mathematical journal  

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2017 pre-print arXiv:1705.04529v2 fatcat:njv6krnk4rgvlpjwzfvglp7zue

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2017 accepted
arXiv:1705.04529v3 fatcat:nicvwzhwhvdanbxpxippyxvw7u
2017 pre-print
arXiv:1705.04529v1 fatcat:7jmcqzhigvb3xnfd65ohr4r7uy
Let U be the complement of a smooth anticanonical divisor in a del Pezzo surface of degree at most 7 over a number field k. We show that there is an effective uniform bound for the size of the Brauer group of U in terms of the degree of k.
doi:10.1307/mmj/1550480562 fatcat:phltk32udfd3vfzzem4abiz72u
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Martin Bright, Julian Lyczak. "A Uniform Bound on the Brauer Groups of Certain log K3 Surfaces." The Michigan mathematical journal 68.2 (2019)