Proper splittings and projectivity for good moduli spaces
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916363281367040 |
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| author | Bejleri, Dori Elmanto, Elden Satriano, Matthew |
| author_facet | Bejleri, Dori Elmanto, Elden Satriano, Matthew |
| contents | We show that any good moduli space $π: \mathcal{X} \to Y$ has a splitting after a proper, generically finite covering of $Y$. As an application we generalize Kollár's ampleness lemma to give a criterion for projectivity of a good moduli space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_11057 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Proper splittings and projectivity for good moduli spaces Bejleri, Dori Elmanto, Elden Satriano, Matthew Algebraic Geometry We show that any good moduli space $π: \mathcal{X} \to Y$ has a splitting after a proper, generically finite covering of $Y$. As an application we generalize Kollár's ampleness lemma to give a criterion for projectivity of a good moduli space. |
| title | Proper splittings and projectivity for good moduli spaces |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2408.11057 |