Brauer–Manin obstructions requiring arbitrarily many Brauer classes-Reference-Cited by-同舟云学术

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Brauer–Manin obstructions requiring arbitrarily many Brauer classes

Published:2024-04-18 Issue:5 Volume:56 Page:1587-1604
ISSN:0024-6093
Container-title:Bulletin of the London Mathematical Society
language:en
Short-container-title:Bulletin of London Math Soc

Author:

Berg Jennifer¹,Pagano Carlo²,Poonen Bjorn³,Stoll Michael⁴,Triantafillou Nicholas⁵,Viray Bianca⁶,Vogt Isabel⁷

Affiliation:

1. Department of Mathematics Bucknell University Lewisburg Pennsylvania USA

2. Department of Mathematics and Statistics Concordia University Montreal Quebec Canada

3. Department of Mathematics Massachusetts Institute of Technology Cambridge Massachusetts USA

4. Mathematisches Institut Universität Bayreuth Bayreuth Germany

5. Center for Communications Research Princeton New Jersey USA

6. Department of Mathematics University of Washington Seattle Washington USA

7. Department of Mathematics Brown University Providence Rhode Island USA

Abstract

AbstractOn a projective variety defined over a global field, any Brauer–Manin obstruction to the existence of rational points is captured by a finite subgroup of the Brauer group. We show that this subgroup can require arbitrarily many generators.

Funder

National Science Foundation

Simons Foundation

Deutsche Forschungsgemeinschaft

American Mathematical Society

Publisher

Wiley

Link

https://londmathsoc.onlinelibrary.wiley.com/doi/pdf/10.1112/blms.12999

Reference20 articles.

1. Insufficiency of the Brauer–Manin Obstruction for Rational Points on Enriques Surfaces

2. The Brauer–Grothendieck Group

3. Hasse principle and weak approximation for pencils of Severi-Brauer and similar varieties.

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