Movable curve classes and slope stability on Deligne-Mumford stacks
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866911716838735872 |
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| author | Casalaina-Martin, Sebastian Zhjeqi, Shend |
| author_facet | Casalaina-Martin, Sebastian Zhjeqi, Shend |
| contents | We generalize some results in the literature on movable curve classes and slope stability of coherent sheaves on smooth projective varieties to the case of smooth proper DM stacks admitting projective coarse moduli spaces. As an application, we establish a Bogomolov-Gieseker inequality on such stacks. This paper is the second in a series aiming to generalize results of Popa-Schnell and Wei-Wu on Viehweg hyperbolicity to the setting of DM stacks, and in particular, to certain KSBA moduli spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_26101 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Movable curve classes and slope stability on Deligne-Mumford stacks Casalaina-Martin, Sebastian Zhjeqi, Shend Algebraic Geometry 14D23, 14J60, 14F06 We generalize some results in the literature on movable curve classes and slope stability of coherent sheaves on smooth projective varieties to the case of smooth proper DM stacks admitting projective coarse moduli spaces. As an application, we establish a Bogomolov-Gieseker inequality on such stacks. This paper is the second in a series aiming to generalize results of Popa-Schnell and Wei-Wu on Viehweg hyperbolicity to the setting of DM stacks, and in particular, to certain KSBA moduli spaces. |
| title | Movable curve classes and slope stability on Deligne-Mumford stacks |
| topic | Algebraic Geometry 14D23, 14J60, 14F06 |
| url | https://arxiv.org/abs/2605.26101 |