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Jan 18, 2021 at 12:09 history edited Sasha CC BY-SA 4.0
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Dec 14, 2020 at 21:44 comment added user168611 Is it immediate to see that $\tilde{X}$ is the projectivization of $S^2\Omega_{\mathbb{P}^2}(2)$? I can see that that $\tilde{X}$ has a fibration over $\mathbb{P}^2$ with fiber $\mathbb{P}^2$ but not that it is the projectivization of this particular vector bundle.
Dec 14, 2020 at 19:33 history answered Sasha CC BY-SA 4.0