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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2508.03892 |
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| _version_ | 1866911093641707520 |
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| author | Prokhorov, Yuri |
| author_facet | Prokhorov, Yuri |
| contents | A $\mathbf{Q}$-conic bundle is a contraction $f: X\to Z$ of a three-dimensional algebraic variety $X$ to a surface~$Z$ such that the variety~$X$ has only terminal $\mathbf{Q}$-factorial singularities, the anticanonical divisor $-K_X$ is~$f$-ample, and $\uprho(X/Z)=1$. We provide an algorithm to transform a $\mathbf{Q}$-conic bundle to its standard form. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_03892 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Birational transformations of threefold $\mathbf{Q}$-conic bundles Prokhorov, Yuri Algebraic Geometry 14E30 A $\mathbf{Q}$-conic bundle is a contraction $f: X\to Z$ of a three-dimensional algebraic variety $X$ to a surface~$Z$ such that the variety~$X$ has only terminal $\mathbf{Q}$-factorial singularities, the anticanonical divisor $-K_X$ is~$f$-ample, and $\uprho(X/Z)=1$. We provide an algorithm to transform a $\mathbf{Q}$-conic bundle to its standard form. |
| title | Birational transformations of threefold $\mathbf{Q}$-conic bundles |
| topic | Algebraic Geometry 14E30 |
| url | https://arxiv.org/abs/2508.03892 |