2 papers
math.NT2026
Cubic surfaces failing the integral Hasse principle
Julian Lyczak, Vladimir Mitankin, H. Uppal
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 s…
math.NT2025
Local-global principles for semi-integral points on Markoff orbifold pairs
Vladimir Mitankin, Justin Uhlemann
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, we…