Rational points and ramified covers of products of two elliptic curves
Volume 198 / 2021
Acta Arithmetica 198 (2021), 275-287
MSC: Primary 14G99; Secondary 11G35, 14G05, 32Q45
DOI: 10.4064/aa200513-3-11
Published online: 27 January 2021
Abstract
Corvaja and Zannier conjectured that an abelian variety over a number field satisfies a version of the Hilbert property. We investigate their conjecture for products of elliptic curves using Kawamata’s structure result for ramified covers of abelian varieties, and Faltings’s finiteness theorem for rational points on higher genus curves.
