Rational points on quartic hypersurfaces

TD Browning; DR Heath-Brown

Rational points on quartic hypersurfaces

TD Browning
, DR Heath-Brown

Research output: Contribution to journal › Article (Academic Journal) › peer-review

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.

Translated title of the contribution	Rational points on quartic hypersurfaces
Original language	English
Journal	Journal für die reine und angewandte Mathematik
Volume	Submitted
Publication status	Accepted/In press - 2007

Bibliographical note

Publisher: de Gruyter

Access to Document

http://arxiv.org/abs/math/0701348

Handle.net

Persistent link

Cite this

@article{036cd237433e4ea49397660a78219c86,

title = "Rational points on quartic hypersurfaces",

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.",

author = "TD Browning and DR Heath-Brown",

note = "Publisher: de Gruyter",

year = "2007",

language = "English",

volume = "Submitted",

journal = "Journal f{\"u}r die reine und angewandte Mathematik",

issn = "0075-4102",

publisher = "Walter de Gruyter GmbH",

}

TY - JOUR

T1 - Rational points on quartic hypersurfaces

AU - Browning, TD

AU - Heath-Brown, DR

N1 - Publisher: de Gruyter

PY - 2007

Y1 - 2007

N2 - 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.

AB - 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.

M3 - Article (Academic Journal)

SN - 0075-4102

VL - Submitted

JO - Journal für die reine und angewandte Mathematik

JF - Journal für die reine und angewandte Mathematik

ER -

Rational points on quartic hypersurfaces

Abstract

Bibliographical note

Access to Document

Handle.net

Fingerprint

Cite this