Geometric Brauer residue via root stacks
arXiv:1803.04326 · doi:10.1007/s40687-018-0146-0
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.
9 pages. Published in Res. Math. Sci