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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2406.09912 |
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| _version_ | 1866914834341167104 |
|---|---|
| author | Zhang, Xucheng |
| author_facet | Zhang, Xucheng |
| contents | We give an algebraic proof of a result, due to Bialynicki-Birula and Sommese, characterizing the invariant open subsets of a normal proper variety equipped with a $\mathbf{G}_m$-action that admit a proper good quotient. A major ingredient is the existence result for moduli spaces of algebraic stacks due to Alper, Halpern-Leistner and Heinloth. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_09912 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Proper good quotients for $\mathbf{G}_m$-actions Zhang, Xucheng Algebraic Geometry We give an algebraic proof of a result, due to Bialynicki-Birula and Sommese, characterizing the invariant open subsets of a normal proper variety equipped with a $\mathbf{G}_m$-action that admit a proper good quotient. A major ingredient is the existence result for moduli spaces of algebraic stacks due to Alper, Halpern-Leistner and Heinloth. |
| title | Proper good quotients for $\mathbf{G}_m$-actions |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2406.09912 |