Many cubic surfaces contain rational points
Number Theory
2017-12-06 v2
Abstract
Building on recent work of Bhargava--Elkies--Schnidman and Kriz--Li, we produce infinitely many smooth cubic surfaces defined over the field of rational numbers that contain rational points.
Cite
@article{arxiv.1701.00525,
title = {Many cubic surfaces contain rational points},
author = {T. D. Browning},
journal= {arXiv preprint arXiv:1701.00525},
year = {2017}
}
Comments
23 pages; minor edits and added new remark (Remark 2.1) following an argument of Jahnel