Let X be a smooth projective variety over C with dim X=n, and L an ample (resp. a nef and big) Cartier divisor. Then (X, L) is called a polarized (resp. a quasi-polarized) manifold. For this (X, L), the sectional genus of L is defined to be a non negative integer valued function by the following formula ([Fj2]): g(L)=a+1/2(K_x+(n-1)L)L~n-1, where K_x is the canonical divisor of X.
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机译：令X是在C上具有光滑X的投影投影，其中X = n为暗，而L是一个充足的（分别为nef和大）卡地亚除数。然后将（X，L）称为极化（分别为准极化）歧管。对于此（X，L），通过以下公式（[Fj2]）将L的截面属定义为非负整数值函数：g（L）= a + 1/2（K_x +（n-1） L）L〜n-1，其中K_x是X的标准除数。
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