Projective bundles and blowing ups
We study the blowing up $\widetilde{X}$ of a smooth projective variety $X$ along a smooth center $B$ that is equipped with a projective bundle structure over a variety $Z$. If $B$ is a point, then $X$ is a projective space. If the Picard number $\rho (X)$ is $1,$ then $\dim Z$ has a lower bound $\di...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2021-11-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.249/ |