Brauertsch fields
Algebraic Geometry
2023-05-12 v1
Abstract
We prove a local-to-global principle for Brauer classes: for any finite collection of non-trivial Brauer classes on a variety over a field of transcendence degree at least 3, there are infinitely many specializations where each class stays non-trivial. This is deduced from a Grothendieck--Lefschetz-type theorem for Brauer groups of certain smooth stacks. This also leads to the notion of a Brauertsch field.
Keywords
Cite
@article{arxiv.2305.06464,
title = {Brauertsch fields},
author = {Daniel Krashen and Max Lieblich and Minseon Shin},
journal= {arXiv preprint arXiv:2305.06464},
year = {2023}
}