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math.NT2023
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…
math.NT2019
Campana points of bounded height on vector group compactifications
Marta Pieropan, Arne Smeets, Sho Tanimoto +1
We initiate a systematic quantitative study of subsets of rational points that are integral with respect to a weighted boundary divisor on Fano orbifolds. We call the points in the…