Canonical Artin Stacks over Log Smooth Schemes

Details Canonical Artin Stacks over Log Smooth Schemes Canonical Artin Stacks over Log Smooth Schemes

2009-11-11

arxiv.org/abs/0911.2059v1

Mathematics

Algebraic Geometry

Scientific paper

In this paper, we develop a theory of toric Artin stacks as well as generalize the Chevalley-Shephard-Todd theorem to the case of diagonalizable group schemes. These are both applications of our main theorem which states that a toroidal embedding X which is not necessarily strict is canonically the good moduli space (in the sense of J. Alper) of a smooth log smooth log Artin stack whose stacky structure is supported on the singular locus of X.

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