8 citations · 14 across the 4 of their papers we have counts for
4 papers
Heights and quantitative arithmetic on stacky curves
Brett Nasserden, Stanley Yao Xiao
In this paper we investigate a family of algebraic stacks, the so-called stacky curves, in the context of the general theory of heights on algebraic stacks due to Ellenberg, Satria…
The density of rational points on with three stacky points
Brett Nasserden, Stanley Yao Xiao
In this paper we consider the density of rational points on the "stacky" curve which is with three half points, with res…
Uniformity of fibres of period mappings and the -unit equation
Brett Nasserden, Stanley Yao Xiao
In this paper we give a refinement of the method introduced by Lawrence and Venkatesh and thereby showing that their proof of Mordell's conjecture is uniform up to a uniform bound…
Arithmetic aspects of the Burkhardt quartic threefold
Nils Bruin, Brett Nasserden
We show that the Burkhardt quartic threefold is rational over any field of characteristic distinct from 3. We compute its zeta function over finite fields. We realize one of its mo…