Canonical Artin Stacks over Log Smooth Schemes
Algebraic Geometry
2013-01-09 v2
Abstract
We develop a theory of toric Artin stacks extending the theories of toric Deligne-Mumford stacks developed by Borisov-Chen-Smith, Fantechi-Mann-Nironi, and Iwanari. We also generalize the Chevalley-Shephard-Todd theorem to the case of diagonalizable group schemes. These are both applications of our main theorem which shows that a toroidal embedding X is canonically the good moduli space (in the sense of Alper) of a smooth log smooth Artin stack whose stacky structure is supported on the singular locus of X.
Keywords
Cite
@article{arxiv.0911.2059,
title = {Canonical Artin Stacks over Log Smooth Schemes},
author = {Matthew Satriano},
journal= {arXiv preprint arXiv:0911.2059},
year = {2013}
}
Comments
To appear in Mathematische Zeitschrift