A NOTE ON A THEOREM OF HEATH-BROWN AND SKOROBOGATOV

Michael P Swarbrick Jones

doi:10.1093/qmath/has031

A NOTE ON A THEOREM OF HEATH-BROWN AND SKOROBOGATOV

Michael P Swarbrick Jones

School of Mathematics

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

13 Citations (Scopus)

Abstract

We generalize a result of Heath-Brown and Skorobogatov [Rational solutions of certain equations involving norms, Acta Math. 189 (2002), 161-177] to show that a certain class of varieties over a number field k satisfies Weak Approximation and the Hasse Principle, provided there is no Brauer-Manin obstruction.

Original language	English
Pages (from-to)	1239-1251
Number of pages	13
Journal	Quarterly Journal of Mathematics
Volume	64
Issue number	4
DOIs	https://doi.org/10.1093/qmath/has031
Publication status	Published - Dec 2013

Access to Document

10.1093/qmath/has031

Handle.net

Persistent link

Cite this

@article{fc1083fe125743dbad5c96284439b2b4,

title = "A NOTE ON A THEOREM OF HEATH-BROWN AND SKOROBOGATOV",

abstract = "We generalize a result of Heath-Brown and Skorobogatov [Rational solutions of certain equations involving norms, Acta Math. 189 (2002), 161-177] to show that a certain class of varieties over a number field k satisfies Weak Approximation and the Hasse Principle, provided there is no Brauer-Manin obstruction.",

author = "{Swarbrick Jones}, {Michael P}",

year = "2013",

month = dec,

doi = "10.1093/qmath/has031",

language = "English",

volume = "64",

pages = "1239--1251",

journal = "Quarterly Journal of Mathematics",

issn = "0033-5606",

publisher = "Oxford University Press",

number = "4",

}

TY - JOUR

T1 - A NOTE ON A THEOREM OF HEATH-BROWN AND SKOROBOGATOV

AU - Swarbrick Jones, Michael P

PY - 2013/12

Y1 - 2013/12

N2 - We generalize a result of Heath-Brown and Skorobogatov [Rational solutions of certain equations involving norms, Acta Math. 189 (2002), 161-177] to show that a certain class of varieties over a number field k satisfies Weak Approximation and the Hasse Principle, provided there is no Brauer-Manin obstruction.

AB - We generalize a result of Heath-Brown and Skorobogatov [Rational solutions of certain equations involving norms, Acta Math. 189 (2002), 161-177] to show that a certain class of varieties over a number field k satisfies Weak Approximation and the Hasse Principle, provided there is no Brauer-Manin obstruction.

U2 - 10.1093/qmath/has031

DO - 10.1093/qmath/has031

M3 - Article (Academic Journal)

SN - 0033-5606

VL - 64

SP - 1239

EP - 1251

JO - Quarterly Journal of Mathematics

JF - Quarterly Journal of Mathematics

IS - 4

ER -

A NOTE ON A THEOREM OF HEATH-BROWN AND SKOROBOGATOV

Abstract

Access to Document

Handle.net

Fingerprint

Cite this