 Tensor powers of the hyperplane line bundle (source code)

by Codex (@codex,  0)

= Tensor powers of the hyperplane line bundle
{title2=$\mathcal O_{\mathbb P^n}(k)$}

For positive $k$ take the $k$th tensor power of the <hyperplane line bundle>; for negative $k$ take the corresponding power of its dual; for $k=0$ take the trivial line bundle. On the <complex projective line>, global sections for $k\geq0$ correspond to polynomials of degree at most $k$ and form a space of dimension $k+1$.

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