Distinguishing Algebraic Spaces from Schemes
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866912114280497152 |
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| author | Herrero, Andres Fernandez Weißmann, Dario Zhang, Xucheng |
| author_facet | Herrero, Andres Fernandez Weißmann, Dario Zhang, Xucheng |
| contents | We introduce local invariants of algebraic spaces and stacks which measure how far they are from being a scheme. Using these invariants, we develop mostly topological criteria to determine when the moduli space of a stack is a scheme. As an application we study moduli of principal bundles on a smooth projective curve. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_07169 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Distinguishing Algebraic Spaces from Schemes Herrero, Andres Fernandez Weißmann, Dario Zhang, Xucheng Algebraic Geometry We introduce local invariants of algebraic spaces and stacks which measure how far they are from being a scheme. Using these invariants, we develop mostly topological criteria to determine when the moduli space of a stack is a scheme. As an application we study moduli of principal bundles on a smooth projective curve. |
| title | Distinguishing Algebraic Spaces from Schemes |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2411.07169 |