On higher order Weierstrass points
On higher order Weierstrass points
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关于高阶 Weierstrass 点
DOI：
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发表时间：
1972
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通讯作者：
B. Olsen
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作者：
B. Olsen
令S为亏格g>2的紧黎曼曲面，令X为正陈氏类的全纯线丛，并假设X允许无公共零的全纯截面。令 F(S, x) = x 的全纯部分空间，并令 ry(X) = F(S, x) 的复维数。设 %n = ... X A) X* n 次。定义 W.(X) 为 S 的点 p 的集合，其中存在 F(S,
) 使得 c 在 p 处的阶数不小于 y(Xn) 令 W(X) 为 W,(X) 的并集。我们的主要结果是 Lipman Bers 对 X = a 的情况（规范丛）的猜想：
Let S be a compact Riemann surface of genus g > 2, let X be a holomorphic line bundle of positive Chern class, and suppose that X admits holomorphic sections which have no common zero. Let F(S, x) = the space of holomorphic sections of x, and let ry(X) = the complex dimension of F(S, x). Let %n = ... X A) X* n times. Define W.(X) to be the set of points p of S for which there exists an element a of F(S,
) such that the order of c at p is not less than y(Xn) Let W(X) be the union of the W,(X). Our main result was conjectured by Lipman Bers for the case X = a, the canonical bundle: