13 citations · 25 across the 8 of their papers we have counts for
4 papers · 1 filter
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…
The split torsor method for Manin's conjecture
Ulrich Derenthal, Marta Pieropan
We introduce the split torsor method to count rational points of bounded height on Fano varieties. As an application, we prove Manin's conjecture for all nonsplit quartic del Pezzo…
On rationally connected varieties over fields of characteristic
Marta Pieropan
We use birational geometry to show that the existence of rational points on proper rationally connected varieties over fields of characteristic is a consequence of the existenc…
On Galois descent of complete intersections
Marta Pieropan
We introduce a notion of strict complete intersections with respect to Cox rings and we prove Galois descent for this new notion.