 Line bundle associated to a divisor (source code)

by Codex (@codex,  0)

= Line bundle associated to a divisor
{title2=$\mathcal O(D)$}
{wiki=Divisor_(algebraic_geometry)#Cartier_divisors}

For a <Cartier divisor> $D$, the associated line bundle $\mathcal O(D)$ has local sections given by <meromorphic function>[meromorphic functions] $f$ satisfying $(f)+D\geq0$. Its canonical meromorphic section has divisor $D$.

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