The Iitaka dimension is a concept from algebraic geometry, specifically in the study of algebraic varieties and their properties. It is named after Shigeharu Iitaka, who introduced the notion. The Iitaka dimension of a projective variety (or more generally, a proper algebraic variety) is a measure of the growth rate of global sections of line bundles on the variety.
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The Iitaka dimension of a Cartier divisor is the maximum dimension of the images of the rational maps given by its nonempty multiples . It is if all positive multiples have no sections. For an integral -dimensional projective variety it lies between zero and when nonnegative. The Kodaira dimension of the variety is the special case .