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arXiv · 1812.01758

On $\mathrm{H}-$trivial line bundles on toric DM stacks of dimension two

Chengxi Wang
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Abstract

We study line bundles on toric DM stacks $\mathbb{P}_{\mathbf{\Sigma}}$ of dimension two. We give a combinatorial criterion of when infinitely many line bundles on $\mathbb{P}_{\mathbf{\Sigma}}$ have trivial cohomology. We further discuss the structure of the set of such line bundles.

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Chengxi Wang. 2018-12-05. On $\mathrm{H}-$trivial line bundles on toric DM stacks of dimension two. https://arxiv.org/abs/1812.01758

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