Counting rational points on del Pezzo surfaces with a conic bundle structure
Volume 163 / 2014
Acta Arithmetica 163 (2014), 271-298
MSC: Primary 11G50; Secondary 11G35, 14G05.
DOI: 10.4064/aa163-3-6
Abstract
For any number field $k$, upper bounds are established for the number of $k$-rational points of bounded height on non-singular del Pezzo surfaces defined over $k$, which are equipped with suitable conic bundle structures over $k$.
