Projectivity of the moduli of equidimensional branchvarieties
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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_ | 1866908363993907200 |
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| author | Halpern-Leistner, Daniel Herrero, Andres Fernandez Jones, Trevor Ramkumar, Ritvik |
| author_facet | Halpern-Leistner, Daniel Herrero, Andres Fernandez Jones, Trevor Ramkumar, Ritvik |
| contents | We resolve an open problem posed by Alexeev-Knutson on the projectivity of the moduli of branchvarieties in the equidimensional case. As an application, we construct projective moduli spaces of reduced equidimensional varieties equipped with ample linear series and subject to a semistability condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_10753 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Projectivity of the moduli of equidimensional branchvarieties Halpern-Leistner, Daniel Herrero, Andres Fernandez Jones, Trevor Ramkumar, Ritvik Algebraic Geometry We resolve an open problem posed by Alexeev-Knutson on the projectivity of the moduli of branchvarieties in the equidimensional case. As an application, we construct projective moduli spaces of reduced equidimensional varieties equipped with ample linear series and subject to a semistability condition. |
| title | Projectivity of the moduli of equidimensional branchvarieties |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2410.10753 |