3 papers
math.NT2026
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…
math.NT2024
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…
math.NT2023
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…