The Weierstrass semigroup of a pair of points on a curve
The Weierstrass semigroup of a pair of points on a curve
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DOI：
10.1007/bf01197599
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发表时间：
1996-10
影响因子：
0.6
通讯作者：
M. Homma
中科院分区：
文献类型：
--
作者：
M. Homma
曲线上两点的魏尔斯特拉斯半群理论是由Arbarello，Cornalba，Griffiths和Harris提出的[1，VIII练习B]，最近由Seon Jeong Kim[4]提出。设X是特征为p≥0的代数闭域K上的亏格g≥2的一条完全光滑曲线，K(X)是X上的有理函数域.设P和Q是X的不同点，我们定义了(P，Q)对(P，Q)的魏尔斯特半群H(P，Q
Theory of the Weierstrass semigroup of a pair of points on a curve was initiated by Arbarello, Cornalba, Griffiths and Harris [1, VIII Exercises B], and recently it has been pushed forward by Seon Jeong Kim [4]. Our purpose is to give some footnotes to Kim’s paper.Let X be a complete smooth curve of genus g≥ 2 over an algebraically closed field K of characteristic p≥ 0, and K (X) the field of rational functions on X. Let P and Q be distinct points of X. We define the Weierstrass semigroup H (P, Q) of the pair (P, Q) by