2 papers
math.NT2020
Uniform potential density for rational points on algebraic groups and elliptic K3 surfaces
Kuan-Wen Lai, Masahiro Nakahara
A collection of varieties satisfies uniform potential density if each of them contains a dense subset of rational points after extending its ground field by a bounded degree. In th…
math.NT2019
Rational points on conic bundles over elliptic curves
Jennifer Berg, Masahiro Nakahara
We study rational points on conic bundles over elliptic curves with positive rank over a number field. We show that the etale Brauer-Manin obstruction is insufficient to explain fa…