Arne Smeets

activity

20122023

most citedCampana points of bounded height on vector group compactifications

13 citations · 39 across the 9 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.AG2015

Logarithmic good reduction of abelian varieties

Alberto Bellardini, Arne Smeets

Let $K$ be a field which is complete for a discrete valuation. We prove a logarithmic version of the Néron-Ogg-Shafarevich criterion: if $A$ is an abelian variety over $K$ which is…

math.NT2015

Fibrations with few rational points

Daniel Loughran, Arne Smeets

We study the problem of counting the number of varieties in families which have a rational point. We give conditions on the singular fibres that force very few of the varieties in…

math.AG2015★ 5 cited

Logarithmic good reduction, monodromy and the rational volume

Arne Smeets

Let $R$ be a strictly local ring complete for a discrete valuation, with fraction field $K$ and residue field of characteristic $p > 0$ . Let $X$ be a smooth, proper variety over $K…