Iitaka dimension (source code)

= Iitaka dimension
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{title2=$\kappa(D)$}
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The Iitaka dimension of a <Cartier divisor> $D$ is the maximum dimension of the images of the rational maps given by its nonempty multiples $|mD|$. It is $-\infty$ if all positive multiples have no sections. For an integral $n$-dimensional projective variety it lies between zero and $n$ when nonnegative. The <Kodaira dimension> of the variety is the special case $D=K_X$.