Imperial College London
Alternate

ProfessorAlexeiSkorobogatov

Faculty of Natural Sciences, Department of Mathematics

Professor of Pure Mathematics
 
 
 
//

Contact

 

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

 
 
//

Location

 

664Huxley BuildingSouth Kensington Campus

//

Summary

 

Publications

Citation

BibTex format

@inbook{Colliot-Thélène:2021:10.1007/978-3-030-74248-5_15,
author = {Colliot-Thélène, JL and Skorobogatov, AN},
booktitle = {Ergebnisse der Mathematik und ihrer Grenzgebiete},
doi = {10.1007/978-3-030-74248-5_15},
pages = {381--393},
title = {The Brauer–Manin obstruction for zero-cycles},
url = {http://dx.doi.org/10.1007/978-3-030-74248-5_15},
year = {2021}
}
Download

RIS format (EndNote, RefMan)

TY  - CHAP
AB  - The Brauer–Manin obstruction for rational points has an analogue for zerocycles, which conjecturally governs the local-to-global principle for zero-cycles on an arbitrary smooth projective variety X – unlike the original version for rational points! For example, one expects that if X has a family of local zerocycles of degree 1 for each completion of k, which is orthogonal to Br(X) with respect to the Brauer–Manin pairing, then X has a global zero-cycle of degree 1.
AU  - Colliot-Thélène,JL
AU  - Skorobogatov,AN
DO  - 10.1007/978-3-030-74248-5_15
EP  - 393
PY  - 2021///
SP  - 381
TI  - The Brauer–Manin obstruction for zero-cycles
T1  - Ergebnisse der Mathematik und ihrer Grenzgebiete
UR  - http://dx.doi.org/10.1007/978-3-030-74248-5_15
ER  -
Download