On the standard models of del Pezzo fibrations of degree four
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909434228244480 |
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| author | Kitagawa, Natsume |
| author_facet | Kitagawa, Natsume |
| contents | Corti defined the notion of standard models of del Pezzo fibrations, and studied their existence over $\mathbb{C}$ with a fixed generic fibre. In this paper, we prove the existence of standard models of del Pezzo fibrations of degree $4$ in characteristic $>2$. To show this, we use the notion of Kollár stability, which was introduced by Kollár and Abban-Fedorchuk-Krylov. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_14857 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the standard models of del Pezzo fibrations of degree four Kitagawa, Natsume Algebraic Geometry Corti defined the notion of standard models of del Pezzo fibrations, and studied their existence over $\mathbb{C}$ with a fixed generic fibre. In this paper, we prove the existence of standard models of del Pezzo fibrations of degree $4$ in characteristic $>2$. To show this, we use the notion of Kollár stability, which was introduced by Kollár and Abban-Fedorchuk-Krylov. |
| title | On the standard models of del Pezzo fibrations of degree four |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2412.14857 |