Rational points in quartic hypersurfaces

TD Browning; DR Heath-Brown

doi:10.1515/CRELLE.2009.026

Rational points in quartic hypersurfaces

TD Browning, DR Heath-Brown

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

20 Citations (Scopus)

Abstract

Let X be a projective non-singular quartic hypersurface of dimension 39 or more, which is defined over . We show that X() is non-empty provided that X() is non-empty and X has p-adic points for every prime p.

Translated title of the contribution	Rational points in quartic hypersurfaces
Original language	English
Pages (from-to)	37 - 88
Number of pages	52
Journal	Journal für die reine und angewandte Mathematik
Volume	2009, issue 629
DOIs	https://doi.org/10.1515/CRELLE.2009.026
Publication status	Published - Apr 2009

Bibliographical note

Publisher: de Gruyter

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10.1515/CRELLE.2009.026

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title = "Rational points in quartic hypersurfaces",

abstract = "Let X be a projective non-singular quartic hypersurface of dimension 39 or more, which is defined over . We show that X() is non-empty provided that X() is non-empty and X has p-adic points for every prime p.",

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

note = "Publisher: de Gruyter",

year = "2009",

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doi = "10.1515/CRELLE.2009.026",

language = "English",

volume = "2009, issue 629",

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AU - Browning, TD

AU - Heath-Brown, DR

N1 - Publisher: de Gruyter

PY - 2009/4

Y1 - 2009/4

N2 - Let X be a projective non-singular quartic hypersurface of dimension 39 or more, which is defined over . We show that X() is non-empty provided that X() is non-empty and X has p-adic points for every prime p.

AB - Let X be a projective non-singular quartic hypersurface of dimension 39 or more, which is defined over . We show that X() is non-empty provided that X() is non-empty and X has p-adic points for every prime p.

U2 - 10.1515/CRELLE.2009.026

DO - 10.1515/CRELLE.2009.026

M3 - Article (Academic Journal)

VL - 2009, issue 629

SP - 37

EP - 88

JO - Journal für die reine und angewandte Mathematik

JF - Journal für die reine und angewandte Mathematik

SN - 0075-4102

ER -