Geometric Brauer residue via root stacks
Algebraic Geometry
2018-06-22 v2
Abstract
We reinterpret the residue map for the Brauer group of a smooth variety using a root stack construction and Weil restriction for algebraic stacks, and apply the result to find a geometric representative of for the residue of a Brauer class associated to a conic bundle, or more generally a Brauer-Severi bundle.
Cite
@article{arxiv.1803.04326,
title = {Geometric Brauer residue via root stacks},
author = {Jakob Oesinghaus},
journal= {arXiv preprint arXiv:1803.04326},
year = {2018}
}
Comments
9 pages. Published in Res. Math. Sci