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arXiv · 1803.04326

Geometric Brauer residue via root stacks

Jakob Oesinghaus
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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.

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Jakob Oesinghaus. 2018-03-12. Geometric Brauer residue via root stacks. https://doi.org/10.1007/s40687-018-0146-0

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