Uniform bounds for rational points on complete intersections of two quadric surfaces
Volume 186 / 2018
Acta Arithmetica 186 (2018), 301-318
MSC: 11D25, 11D45, 11G05, 14G05.
DOI: 10.4064/aa170321-24-3
Published online: 14 November 2018
Abstract
We give uniform upper bounds for the number of rational points of height at most $B$ on non-singular complete intersections of two quadrics in $\mathbb{P}^3$ defined over $\mathbb{Q}$. To do this, we combine determinant methods with descent arguments.
