Global $+$-regularity of regular del Pezzo surfaces in mixed characteristic
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866912838606389248 |
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| author | Onuki, Hirotaka |
| author_facet | Onuki, Hirotaka |
| contents | Let $R = W(k)$ be the ring of Witt vectors over an algebraically closed field $k$ of characteristic $p > 2$. Let $M$ be a three-dimensional regular integral flat projective $R$-scheme such that $H^0(M,\mathcal{O}_M) = R$ and the anticanonical sheaf $ω_M^{-1}$ is ample. We show that $M$ is globally $+$-regular if the closed fiber $M_k$ is reduced. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_15270 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Global $+$-regularity of regular del Pezzo surfaces in mixed characteristic Onuki, Hirotaka Algebraic Geometry Let $R = W(k)$ be the ring of Witt vectors over an algebraically closed field $k$ of characteristic $p > 2$. Let $M$ be a three-dimensional regular integral flat projective $R$-scheme such that $H^0(M,\mathcal{O}_M) = R$ and the anticanonical sheaf $ω_M^{-1}$ is ample. We show that $M$ is globally $+$-regular if the closed fiber $M_k$ is reduced. |
| title | Global $+$-regularity of regular del Pezzo surfaces in mixed characteristic |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2601.15270 |