On a smoothness characterization for good moduli spaces
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2019
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| _version_ | 1866910331456978944 |
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| author | Edidin, Dan Satriano, Matthew Whitehead, Spencer |
| author_facet | Edidin, Dan Satriano, Matthew Whitehead, Spencer |
| contents | Let $\mathcal{X}$ be a smooth Artin stack with properly stable good moduli space $π\colon\mathcal{X} \to X$. The purpose of this paper is to prove that a simple geometric criterion can often characterize when the moduli space $X$ is smooth and the morphism $π$ is flat. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1905_04845 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | On a smoothness characterization for good moduli spaces Edidin, Dan Satriano, Matthew Whitehead, Spencer Representation Theory Algebraic Geometry Combinatorics Let $\mathcal{X}$ be a smooth Artin stack with properly stable good moduli space $π\colon\mathcal{X} \to X$. The purpose of this paper is to prove that a simple geometric criterion can often characterize when the moduli space $X$ is smooth and the morphism $π$ is flat. |
| title | On a smoothness characterization for good moduli spaces |
| topic | Representation Theory Algebraic Geometry Combinatorics |
| url | https://arxiv.org/abs/1905.04845 |