Gluing for stable families of surfaces in mixed characteristic
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2021
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| _version_ | 1866914632353972224 |
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| author | Posva, Quentin |
| author_facet | Posva, Quentin |
| contents | We study the normalizations of non-normal stable families of slc surfaces over an excellent DVR. In mixed characteristic, we establish a gluing statement that is relevant for the properness of the moduli space of such surfaces. We also study the fibers of such glued families, in mixed and equi-characteristic, and provide an essential result for slc adjunction in residue characteristic >5. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2110_09845 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Gluing for stable families of surfaces in mixed characteristic Posva, Quentin Algebraic Geometry 14B05, 14G17, 14G45, 14J17, 14J29 We study the normalizations of non-normal stable families of slc surfaces over an excellent DVR. In mixed characteristic, we establish a gluing statement that is relevant for the properness of the moduli space of such surfaces. We also study the fibers of such glued families, in mixed and equi-characteristic, and provide an essential result for slc adjunction in residue characteristic >5. |
| title | Gluing for stable families of surfaces in mixed characteristic |
| topic | Algebraic Geometry 14B05, 14G17, 14G45, 14J17, 14J29 |
| url | https://arxiv.org/abs/2110.09845 |