6 citations · 15 across the 10 of their papers we have counts for
10 papers
On everywhere locally soluble varieties in families over toric bases
Vladi Mitankin, Leo Schäfer, Damaris Schindler +1
We determine the density of locally soluble fibres in certain families of varieties over a toric base. For this we develop a new form of the hyperbola method for toric bases which…
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…
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…
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 on cubic surfaces: heuristics and numerics
Tim Browning, Florian Wilsch
We develop a heuristic for the density of integer points on affine cubic surfaces. Our heuristic applies to smooth surfaces defined by cubic polynomials that are log K3, but it can…
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…
Integral points on singular del Pezzo surfaces
Ulrich Derenthal, Florian Wilsch
In order to study integral points of bounded log-anticanonical height on weak del Pezzo surfaces, we classify weak del Pezzo pairs. As a representative example, we consider a quart…
Equidistribution and freeness on Grassmannians
Tim Browning, Tal Horesh, Florian Wilsch
We associate a certain tensor product lattice to any primitive integer lattice and ask about its typical shape. These lattices are related to the tangent bundle of Grassmannians an…
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.