Imperial College London
Alternate

ProfessorAlexeiSkorobogatov

Faculty of Natural Sciences, Department of Mathematics

Professor of Pure Mathematics
 
 
 
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Contact

 

+44 (0)20 7594 8493a.skorobogatov Website

 
 
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Location

 

664Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Browning:2014:10.4007/annals.2014.180.1.8,
author = {Browning, TD and Matthiesen, L and Skorobogatov, AN},
doi = {10.4007/annals.2014.180.1.8},
journal = {Annals of Mathematics},
pages = {381--402},
title = {Rational points on pencils of conics and quadrics with many degenerate fibres},
url = {http://dx.doi.org/10.4007/annals.2014.180.1.8},
volume = {180},
year = {2014}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - For any pencil of conics or higher-dimensional quadrics over Q, with all degenerate fibres defined over Q, we show that the Brauer–Manin obstruction controls weak approximation. The proof is based on the Hasse principle and weak approximation for some special intersections of quadrics over Q, which is a consequence of recent advances in additive combinatorics.
AU  - Browning,TD
AU  - Matthiesen,L
AU  - Skorobogatov,AN
DO  - 10.4007/annals.2014.180.1.8
EP  - 402
PY  - 2014///
SN  - 1939-8980
SP  - 381
TI  - Rational points on pencils of conics and quadrics with many degenerate fibres
T2  - Annals of Mathematics
UR  - http://dx.doi.org/10.4007/annals.2014.180.1.8
UR  - http://hdl.handle.net/10044/1/30561
VL  - 180
ER  -
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