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

Chengxi Wang

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

Algebraic Geometry 2018-12-06 v1

Authors: Chengxi Wang

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.

Keywords

toric dm stacks line bundles hilbert function cohomology combinatorial criterion

Cite

@article{arxiv.1812.01758,
  title  = {On $\mathrm{H}-$trivial line bundles on toric DM stacks of dimension two},
  author = {Chengxi Wang},
  journal= {arXiv preprint arXiv:1812.01758},
  year   = {2018}
}

Comments

20 pages, 8 figures

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