 Asymptotic Riemann–Roch (source code)

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= Asymptotic Riemann–Roch

For a <Cartier divisor> $D$ on an $n$-dimensional <projective scheme>, $\chi(X,\mathcal O_X(mD))$ is a polynomial in $m$ whose leading term is $D^nm^n/n!$. The <intersection product> uses the fundamental cycle, with the generic multiplicity of each component. Thus the statement also applies to nonreduced schemes.

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