On the properness of the moduli space of stable surfaces over $\mathbb{Z}[1/30]$
| Autor: | Arvidsson, Emelie, Bernasconi, Fabio, Patakfalvi, Zsolt |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | We show the properness of the moduli stack of stable surfaces over $\mathbb{Z}[1/30]$, assuming the locally-stable reduction conjecture for stable surfaces. This relies on a local Kawamata--Viehweg vanishing theorem for for 3-dimensional log canonical singularities at closed point of characteristic $p \neq 2, 3$ and $5$ which are not log canonical centres. Comment: 33 pages, minor modifications. To appear in Moduli |
| Databáze: | arXiv |
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