关于几点的Weierstrass间隙
On Weierstrass gaps at several points
摘要：
我们考虑的问题，确定Weierstrass间隙和纯Weierstrass间隙在几个点。利用\cite{D}给出的广义Weierstrass半群的相对极大性的概念，给出了这些元素的一个描述，推广了Homma和Kim \cite{HK}给出的对的描述方法.通过这种描述，我们研究了一类分离变量曲线族上几点处的间隙和纯间隙。
英文摘要：
We consider the problem of determining Weierstrass gaps and pure Weierstrass gaps at several points. Using the notion of relative maximality in generalized Weierstrass semigroups due to Delgado \cite{D}, we present a description of these elements which generalizes the approach of Homma and Kim \cite{HK} given for pairs. Through this description, we study the gaps and pure gaps at several points on a certain family of curves with separated variables.
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