Semi-integral Brauer–Manin obstruction and quadric orbifold pairs
We study local-global principles for two notions of semi-integral points, termed Campana
points and Darmon points. In particular, we develop a semi-integral version of the Brauer …
points and Darmon points. In particular, we develop a semi-integral version of the Brauer …
Local-global principles for semi-integral points on Markoff orbifold pairs
V Mitankin, J Uhlemann - arXiv preprint arXiv:2411.02629, 2024 - arxiv.org
We study local-global principles for semi-integral points on orbifold pairs of Markoff type. In
particular, we analyse when these orbifold pairs satisfy weak weak approximation, weak …
particular, we analyse when these orbifold pairs satisfy weak weak approximation, weak …
Cubic surfaces failing the integral Hasse principle
J Lyczak, V Mitankin, H Uppal - arXiv preprint arXiv:2311.10008, 2023 - arxiv.org
We study the integral Brauer--Manin obstruction for affine diagonal cubic surfaces, which we
employ to construct the first counterexamples to the integral Hasse principle in this setting …
employ to construct the first counterexamples to the integral Hasse principle in this setting …
The leading constant for rational points in families
D Loughran, N Rome, E Sofos - arXiv preprint arXiv:2210.13559, 2022 - arxiv.org
arXiv:2210.13559v4 [math.NT] 15 Mar 2023 Page 1 arXiv:2210.13559v4 [math.NT] 15 Mar
2023 THE LEADING CONSTANT FOR RATIONAL POINTS IN FAMILIES DANIEL LOUGHRAN …
2023 THE LEADING CONSTANT FOR RATIONAL POINTS IN FAMILIES DANIEL LOUGHRAN …