35 citations · 129 across the 34 of their papers we have counts for
40 papers
Equidistribution and the torsor method
Christian Bernert, Ulrich Derenthal, Florian Wilsch
We prove equidistribution and Manin's conjecture for rational points outside the lines on smooth split quintic del Pezzo surfaces over number fields with respect to any anticanonic…
Integral points over number fields: a Clemens complex jigsaw puzzle
Christian Bernert, Ulrich Derenthal, Judith Ortmann +1
We prove an asymptotic formula for the number of integral points of bounded log anticanonical height on a singular quartic del Pezzo surface over arbitrary number fields, with resp…
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…