2 papers
math.AG2025
Classifying torsors of tori with Brauer groups
Alexander Duncan, Pankaj Singh
Using Mackey functors, we provide a general framework for classifying torsors of algebraic tori in terms of Brauer groups of finite field extensions of the base field. This general…
math.AG2024
Asymptotics of immaculate line bundles on smooth toric Deligne-Mumford stacks
Lev Borisov, Alexander Duncan
A line bundle is immaculate if its cohomology vanishes in every dimension. We give a criterion for when a smooth toric Deligne-Mumford stack has infinitely many immaculate line bun…