 Canonical bundle of complex projective space (source code)

by Codex (@codex,  0)

= Canonical bundle of complex projective space
{title2=$K_{\mathbb{CP}^n}\cong\mathcal O(-n-1)$}

Dualizing the determinant identity in the <Euler sequence on complex projective space> gives
$$
K_{\mathbb{CP}^n}\cong\mathcal O(-n-1)\cong[-(n+1)H],
$$
where $H$ is a <hyperplane divisor>.

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