arXiv Analytics

Sign in

arXiv:math/0701348 [math.NT]AbstractReferencesReviewsResources

Rational points on quartic hypersurfaces

T. D. Browning, D. R. Heath-Brown

Published 2007-01-12, updated 2008-01-08Version 2

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.

Comments: 47 pages
Categories: math.NT, math.AG
Subjects: 11D72, 11P55, 14G05
Related articles: Most relevant | Search more
arXiv:math/0505364 [math.NT] (Published 2005-05-17)
Fields of Definition of Rational Points on Varieties
arXiv:1304.3333 [math.NT] (Published 2013-04-11, updated 2014-03-19)
The Hardy--Littlewood conjecture and rational points
arXiv:math/0604193 [math.NT] (Published 2006-04-09)
Universal torsors over Del Pezzo surfaces and rational points

Links

Toolbox