Rational points on quartic hypersurfaces

TD Browning, DR Heath-Brown

Research output: Contribution to journalArticle (Academic Journal)peer-review


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.
Translated title of the contributionRational points on quartic hypersurfaces
Original languageEnglish
JournalJournal für die reine und angewandte Mathematik
Publication statusAccepted/In press - 2007

Bibliographical note

Publisher: de Gruyter


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