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20172025
most citedA uniform bound on the Brauer groups of certain log K3 surfaces

3 citations · 6 across the 8 of their papers we have counts for

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2 papers · 1 filter

math.NT2023

Cubic surfaces failing the integral Hasse principle

Julian Lyczak, Vladimir Mitankin, H. Uppal

We study the integral Brauer--Manin obstruction for affine diagonal cubic surfaces, which we employ to construct the first counterexamples to the integral Hasse principle in this s…

math.NT2023★ 2 cited

Paucity of rational points on fibrations with multiple fibres

Tim Browning, Julian Lyczak, Arne Smeets

Given a family of varieties over the projective line, we study the density of fibres that are everywhere locally soluble in the case that components of higher multiplicity are allo…