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5
votes
Accepted
blow-up of $\mathbb{P}^5$ as a projective bundle
Consider the six points $p_0=(1:0:0:0:0:0)$, $p_1=(0:1:0:0:0:0)$, and similarly $p_2,\dotsc,p_5$. Then one can take the 3 lines $\overline{p_0p_1}$, $\overline{p_2p_3}$, and $\overline{p_4p_5}$, which …