Some remarks concerning Demazure’s construction of normal graded rings
Some remarks concerning Demazure’s construction of normal graded rings
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关于 Demazure 普通分级环结构的一些评论
作者：
Kei
在[1]中，Demazure提出了一种利用正规射影变的“有理系数Weil除数”的概念构造正规分级环的新方法，并给出了以下定理（[1],3.5）。若R =⊕n≥0 Rn是域k上的有限型正规分级环，且T是R商域中的1次齐次元，则存在唯一除数D∈Div (X， Q) (X = Proj (R))，使得对于每一个n≧0。的定义见（1.1）
In [1], Demazure showed a new way of constructing normal graded rings using the concept of “rational coefficient Weil divisors” of normal projective varieties and he showed, among other things, the following THEOREM ([1], 3.5). If R = ⊕ n ≥ 0 Rn is a normal graded ring of finite type over a field k and if T is a homogeneous element of degree 1 in the quotient field of R, then there exists unique divisor D ∈ Div (X, Q) (X = Proj (R)), such that for every n ≧ 0.(See (1.1) for the definition of