The Kodaira Dimension of the Moduli Space of Curves
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چکیده
Definition 1.1. Let L be a line bundle on a normal, irreducible, projective variety. Then the Iitaka dimension of L is defined to be the maximum dimension of the image of πm for m ⊕ N(X, L) provided N(X, L) ∈= 0. If N(X, L) = 0, then the Iitaka dimension of L is defined to be −→. When X is smooth, the Kodaira dimension of X is defined to be the Iitaka dimension of its canonical bundle KX . If X is singular, the Kodaira dimension of X is defined to be the Kodaira dimension of any desingularization of X .
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تاریخ انتشار 2006