Terminal Resolutions of Brauer Pairs
Algebraic Geometry
2011-01-06 v1
Abstract
A Brauer pair is a pair (X, {\alpha}) where X is a quasi-projective variety over an algebraically closed field and {\alpha} is an element in the 2-torsion part of the Brauer group of the function field of X. A Brauer pair (Y, {\alpha}) is a terminal pair if the Brauer discrepancy of (Y, {\alpha}) is positive. We show that given a Brauer pair (X, {\alpha}), there is a terminal pair (Y, {\alpha}) with a birational morphism Y -> X. In short, any Brauer pair admits a terminal resolution.
Keywords
Cite
@article{arxiv.1101.0868,
title = {Terminal Resolutions of Brauer Pairs},
author = {Basil Nanayakkara},
journal= {arXiv preprint arXiv:1101.0868},
year = {2011}
}