Good Moduli Spaces in Derived Algebraic Geometry
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913124622270464 |
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| author | Ahlqvist, Eric Hekking, Jeroen Pernice, Michele Savvas, Michail |
| author_facet | Ahlqvist, Eric Hekking, Jeroen Pernice, Michele Savvas, Michail |
| contents | We develop a theory of good moduli spaces for derived Artin stacks, which naturally generalizes the classical theory of good moduli spaces introduced by Alper. As such, many of the fundamental results and properties regarding good moduli spaces for classical Artin stacks carry over to the derived context. In fact, under natural assumptions, often satisfied in practice, we show that the derived theory essentially reduces to the classical theory. As applications, we establish derived versions of the étale slice theorem for good moduli spaces and the partial desingularization procedure of good moduli spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_16574 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Good Moduli Spaces in Derived Algebraic Geometry Ahlqvist, Eric Hekking, Jeroen Pernice, Michele Savvas, Michail Algebraic Geometry We develop a theory of good moduli spaces for derived Artin stacks, which naturally generalizes the classical theory of good moduli spaces introduced by Alper. As such, many of the fundamental results and properties regarding good moduli spaces for classical Artin stacks carry over to the derived context. In fact, under natural assumptions, often satisfied in practice, we show that the derived theory essentially reduces to the classical theory. As applications, we establish derived versions of the étale slice theorem for good moduli spaces and the partial desingularization procedure of good moduli spaces. |
| title | Good Moduli Spaces in Derived Algebraic Geometry |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2309.16574 |