A note on toric Deligne-Mumford stacks
Algebraic Geometry
2008-04-08 v2
Abstract
We give a new description of the data needed to specify a morphism from a scheme to a toric Deligne-Mumford stack. The description is given in terms of a collection of line bundles and sections which satisfy certain conditions. As applications, we characterize any toric Deligne-Mumford stack as a product of roots of line bundles over the rigidified stack, describe the torus action, describe morphisms between toric Deligne-Mumford stacks with complete coarse moduli spaces in terms of homogeneous polynomials, and compare two different definitions of toric stacks.
Keywords
Cite
@article{arxiv.0705.3823,
title = {A note on toric Deligne-Mumford stacks},
author = {Fabio Perroni},
journal= {arXiv preprint arXiv:0705.3823},
year = {2008}
}