On the existence of Weierstrass points whose first non-gaps are five
On the existence of Weierstrass points whose first non-gaps are five
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关于第一个非间隙为 5 的 Weierstrass 点的存在性
DOI：
10.1007/bf02567755
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发表时间：
1992
影响因子：
0.6
通讯作者：
J. Komeda
中科院分区：
文献类型：
--
作者：
J. Komeda
即补数N/Hin N有限的非负整数的可加半群N的子半群。取h中最小的正整数。然后证明ifa=5，则存在一条点完全非奇异不可约代数曲线（C， P），使得C/{P}上的正则函数的极阶atp整数集。
LetHbe a numerical semigroup, i.e., a subsemigroup of the additive semigroup N of non-negative integers whose complement N/Hin N is finite. Letabe the least positive integer inH. Then we show that ifa=5, then there exists a pointed complete non-singular irreducible algebraic curve (C, P) such thatHis the set of integers which are pole orders atPof regular functions onC/{P}.