Iitaka dimension

id: iitaka-dimension-298-18320969
title: Iitaka dimension
text: 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 section ring of L 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 usually defined to be − ∞ or simply said to be negative. The Iitaka dimension of L is sometimes called L-dimension, while the dimension
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Iitaka_dimension
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date modified: 2023-09-27T18:16:00Z
main entity: {"identifier":"Q5995023","url":"https://www.wikidata.org/entity/Q5995023"}
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