On H-trivial line bundles on toric DM stacks of dimension two
classification
🧮 math.AG
keywords
bundleslinedimensionmathbbmathbfsigmastackstoric
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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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