Counting rational points on quartic del Pezzo surfaces with a rational conic
Number Theory
2018-07-17 v4 Algebraic Geometry
Abstract
Upper and lower bounds, of the expected order of magnitude, are obtained for the number of rational points of bounded height on any quartic del Pezzo surface over that contains a conic defined over .
Cite
@article{arxiv.1609.09057,
title = {Counting rational points on quartic del Pezzo surfaces with a rational conic},
author = {T. D. Browning and E. Sofos},
journal= {arXiv preprint arXiv:1609.09057},
year = {2018}
}
Comments
39 pages, to appear in Mathematische Annalen