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.
Categories: math.AG