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arXiv · 2312.02885

Asymptotics of immaculate line bundles on smooth toric Deligne-Mumford stacks

Lev Borisov·Alexander Duncan
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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 behaviour of the collection of immaculate line bundles.

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Lev Borisov, Alexander Duncan. 2023-12-05. Asymptotics of immaculate line bundles on smooth toric Deligne-Mumford stacks. https://arxiv.org/abs/2312.02885

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