Normal stable degenerations of Noether-Horikawa surfaces
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911073094860800 |
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| author | Akaike, Hiroto Enokizono, Makoto Hattori, Masafumi Koto, Yuki |
| author_facet | Akaike, Hiroto Enokizono, Makoto Hattori, Masafumi Koto, Yuki |
| contents | We classify all normal stable Horikawa surfaces with only $\mathbb{Q}$-Gorenstein smoothable log canonical singularities. Furthermore, we provide a criterion for their global $\mathbb{Q}$-Gorenstein smoothability and describe the boundary strata of the moduli space of $\mathbb{Q}$-Gorenstein smoothable normal stable Horikawa surfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_17633 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Normal stable degenerations of Noether-Horikawa surfaces Akaike, Hiroto Enokizono, Makoto Hattori, Masafumi Koto, Yuki Algebraic Geometry Differential Geometry Geometric Topology 14J10, 14J17, 14J29 We classify all normal stable Horikawa surfaces with only $\mathbb{Q}$-Gorenstein smoothable log canonical singularities. Furthermore, we provide a criterion for their global $\mathbb{Q}$-Gorenstein smoothability and describe the boundary strata of the moduli space of $\mathbb{Q}$-Gorenstein smoothable normal stable Horikawa surfaces. |
| title | Normal stable degenerations of Noether-Horikawa surfaces |
| topic | Algebraic Geometry Differential Geometry Geometric Topology 14J10, 14J17, 14J29 |
| url | https://arxiv.org/abs/2507.17633 |