A note on toric Deligne-Mumford stacks
| dc.creator | Perroni, Fabio | |
| dc.date | 2007-05-25 | |
| dc.date | 2008-04-08 | |
| dc.date.accessioned | 2026-07-07T09:30:35Z | |
| dc.date.available | 2026-07-07T09:30:35Z | |
| dc.description | 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. | |
| dc.description | Version2: typos corrected; we add sections 6 and 7 where we relate the present work with the paper of Iwanari: arXiv:math/0610548 and that of Fantechi-Mann-Nironi: arXiv:0708.1254. Accepted for publication in the Tohoku Math. J | |
| dc.identifier | https://arxiv.org/abs/0705.3823 | |
| dc.identifier | http://arxiv.org/abs/0705.3823 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/158167 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14M25; 14A20 | |
| dc.title | A note on toric Deligne-Mumford stacks | |
| dc.type | text |