@unpublished{10788,
  abstract     = {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 and Tschinkel. We provide an alternative
interpretation of the asymptotic formula we get. To do so, we construct an
analogue of Peyre's constant $\alpha$ and describe its relation to a new
obstruction to the Zariski density of integral points in certain regions of
varieties.},
  author       = {Wilsch, Florian Alexander},
  booktitle    = {arXiv},
  keywords     = {Integral point, toric variety, Manin's conjecture},
  title        = {{Integral points of bounded height on a certain toric variety}},
  doi          = {10.48550/arXiv.2202.10909},
  year         = {2022},
}

@article{10018,
  abstract     = {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 quartic del Pezzo surface of singularity type A1 + A3 and prove an analogue of Manin's conjecture for integral points with respect to its singularities and its lines.},
  author       = {Derenthal, Ulrich and Wilsch, Florian Alexander},
  issn         = {1475-3030 },
  journal      = {Journal of the Institute of Mathematics of Jussieu},
  keywords     = {Integral points, del Pezzo surface, universal torsor, Manin’s conjecture},
  publisher    = {Cambridge University Press},
  title        = {{Integral points on singular del Pezzo surfaces}},
  doi          = {10.1017/S1474748022000482},
  year         = {2022},
}

