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Suppose that $D = \sum n_i P_i$ is a divisor on a curve $C$, say, over a field. Is there a standard algebraic geometry terminology referring to the set $\{ P_i : n_i \neq 0 \} \subset |C|$? Support of $D$? Locus of $D$?

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    $\begingroup$ The "support of $D$" sounds good to me. $\endgroup$
    – Donu Arapura
    Commented Mar 9, 2015 at 13:50
  • $\begingroup$ ...and it is used in EGA, Hartshorne, ... $\endgroup$
    – abx
    Commented Mar 9, 2015 at 15:15

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