From the 1 of 7 linked papers with an AI index.
7 papers
Equidistribution and the torsor method
Christian Bernert, Ulrich Derenthal, Florian Wilsch
The authors prove equidistribution and Manin's conjecture for rational points outside the lines on smooth split quintic del Pezzo surfaces over number fields, using a general torso…
Integral Diophantine approximation on varieties
Zhizhong Huang, Florian Wilsch
We study the local behavior of integral points on log pairs near a fixed rational point in the boundary by means of an integral approximation constant. In light of Siegel's theorem…
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…
Integral points of bounded height on a log Fano threefold
Florian Wilsch
We determine an asymptotic formula for the number of integral points of bounded height on a blow-up of outside certain planes using universal torsors.
Integral points of bounded height on a certain toric variety
Florian Wilsch
We determine an asymptotic formula for the number of integral points of bounded height on a certain toric variety, which is incompatible with part of a preprint by Chambert-Loir an…
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…