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arXiv · 1904.00799

On $\mathrm{H}-$trivial line bundles on toric DM stacks of dim $\geq3$

Lev Borisov·Chengxi Wang
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Abstract

We study line bundles on smooth toric DM stacks $\mathbb{P}_{\mathbf{\Sigma}}$ of arbitrary dimension. A sufficient condition is given for when infinitely many line bundles on $\mathbb{P}_{\mathbf{\Sigma}}$ have trivial cohomology. In dimension three, the sufficient condition is also a necessary condition in the case that $\mathbf{\Sigma}$ has no more than one pair of collinear rays.

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Lev Borisov, Chengxi Wang. 2019-03-28. On $\mathrm{H}-$trivial line bundles on toric DM stacks of dim $\geq3$. https://arxiv.org/abs/1904.00799

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