Imperial College London

ProfessorAlexeiSkorobogatov

Faculty of Natural SciencesDepartment 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{Harpaz:2014,
author = {Harpaz, Y and Skorobogatov, AN},
journal = {Annales scientifiques de l'École normale supérieure},
pages = {765--778},
title = {Singular curves and the étale Brauer-Manin obstruction for surfaces},
volume = {47},
year = {2014}
}

RIS format (EndNote, RefMan)

TY  - JOUR
AB - We give an elementary construction of a smooth and projective surface over an arbitrary number field k that is a counterexample to the Hasse principle but has infinite étale Brauer-Manin set. Our surface has a surjective morphism to a curve with exactly one k-point such that the unique k-fibre is geometrically a union of projective lines with an adelic point and the trivial Brauer group, but no k-point
AU - Harpaz,Y
AU - Skorobogatov,AN
EP - 778
PY - 2014///
SN - 0012-9593
SP - 765
TI - Singular curves and the étale Brauer-Manin obstruction for surfaces
T2 - Annales scientifiques de l'École normale supérieure
VL - 47
ER -