Iitaka Dimension

In algebraic geometry, the Iitaka dimension of a line bundle L on an algebraic variety X is the dimension of the image of the rational map to projective space determined by L. This is 1 less than the dimension of the ring

The Iitaka dimension of L is always less than or equal to the dimension of X. If L is not effective, then its Iitaka dimension is defined to be (or sometimes −1).

Read more about Iitaka Dimension:  Big Line Bundles, Kodaira Dimension

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