Complex tautological line bundle
= Complex tautological line bundle
{title2=$\mathcal O_{\mathbb P^n}(-1)$}
Over complex <projective space>, its fibre at a line $\ell\subseteq\mathbb C^{n+1}$ is $\ell$ itself. It is a <holomorphic line bundle> contained in the trivial bundle. Its dual is the <hyperplane line bundle>.