Rational points on quartic hypersurfaces
Number Theory
2008-01-08 v2 Algebraic Geometry
Abstract
Let X be a non-singular projective hypersurface of degree 4, which is defined over the rational numbers. Assume that X has dimension 39 or more, and that X contains a real point and p-adic points for every prime p. Then X is shown to contain infinitely many rational points.
Cite
@article{arxiv.math/0701348,
title = {Rational points on quartic hypersurfaces},
author = {T. D. Browning and D. R. Heath-Brown},
journal= {arXiv preprint arXiv:math/0701348},
year = {2008}
}
Comments
47 pages