Foliations, slope stability, and positivity of log canonical bundles on Deligne-Mumford stacks
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866916046848393216 |
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| author | Casalaina-Martin, Sebastian Zhjeqi, Shend |
| author_facet | Casalaina-Martin, Sebastian Zhjeqi, Shend |
| contents | We generalize some results of Campana-Păun regarding foliations, slope stability, and positivity of log canonical bundles on smooth projective varieties to the case of smooth proper DM stacks admitting projective coarse moduli spaces. This paper is the third 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 |
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arxiv_https___arxiv_org_abs_2605_26443 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Foliations, slope stability, and positivity of log canonical bundles on Deligne-Mumford stacks Casalaina-Martin, Sebastian Zhjeqi, Shend Algebraic Geometry 14D23, 32M25, 37F75, 14E30 We generalize some results of Campana-Păun regarding foliations, slope stability, and positivity of log canonical bundles on smooth projective varieties to the case of smooth proper DM stacks admitting projective coarse moduli spaces. This paper is the third 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 | Foliations, slope stability, and positivity of log canonical bundles on Deligne-Mumford stacks |
| topic | Algebraic Geometry 14D23, 32M25, 37F75, 14E30 |
| url | https://arxiv.org/abs/2605.26443 |