35 citations · 129 across the 34 of their papers we have counts for
4 papers · 1 filter
Iitaka fibrations and integral points: a family of arbitrarily polarized spherical threefolds
Ulrich Derenthal, Florian Wilsch
Studying Manin's program for a family of spherical log Fano threefolds, we determine the asymptotic number of integral points whose height associated with an arbitrary ample line b…
Integral points of bounded height on quintic del Pezzo surfaces over number fields
Christian Bernert, Ulrich Derenthal
We prove an asymptotic formula for the number of integral points of bounded log-anticanonical height on split smooth quintic del Pezzo surfaces over number fields, with respect to…
Points of bounded height on quintic del Pezzo surfaces over the rational numbers
Christian Bernert, Ulrich Derenthal
We give a relatively short and elementary proof of Manin's conjecture for split smooth quintic del Pezzo surfaces over the rational numbers.
Manin's conjecture for the chordal cubic fourfold
Ulrich Derenthal
We prove the thin set version of Manin's conjecture for the chordal (or: determinantal) cubic fourfold, which is the secant variety of the Veronese surface. We reduce this counting…