Asymptotics of Immaculate Line Bundles on Smooth Toric Deligne–Mumford Stacks
Abstract
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 bundles. This answers positively a question of Borisov and Wang. As a byproduct, we describe the asymptotic behavior of the collection of immaculate line bundles.
Fields of Study & Subjects
Geometry and complex manifolds
Algebraic Geometry and Number Theory
Commutative Algebra and Its Applications
Publication details
- Journal / source
- The Michigan Mathematical Journal
- Volume
- -1
- Issue
- -1
- Publication date
- 1 January 2026