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iitak
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There are 5 letters in IITAK ( A1I1K5T1 )
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IITAK - 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 project...
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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* * * * R * ( * X * , * L * ) * = * * ⨁ * * d * = * 0 * * * ∞ * * * * H * * 0 * * * ( * X * , * * L * * ⊗ * d * * * ) * . * * * {\displaystyle R(X,L)=\bigoplus _{d=0}^{\infty }H^{0}(X,L^{\otimes d}).} * 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 * * * * − * ∞ * * * {\displaystyle -\infty } * or simply said to be negative (some early references define it to be −1). The Iitaka dimension of L is sometimes called L-dimension, while the dimension of a divisor D is called D-dimension. The Iitaka dimension was introduced by Shigeru Iitaka (1970, 1971). |