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arXiv · 0911.2059

Canonical Artin Stacks over Log Smooth Schemes

Matthew Satriano
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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.

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Matthew Satriano. 2009-11-11. Canonical Artin Stacks over Log Smooth Schemes. https://arxiv.org/abs/0911.2059

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