On Weierstrass Gaps at Several Points

被引：5
|
作者：
Tenorio, Wanderson [1 ]
Tizziotti, Guilherme [1 ]
机构：
[1] Univ Fed Uberlandia, Fac Matemat, Av JN Avila 2121, BR-38408902 Uberlandia, MG, Brazil
来源：
BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2019年 / 50卷 / 02期
关键词：
Weierstrass semigroup; Generalized Weierstrass semigroup; Pure gaps; Curves with separated variables;
D O I：
10.1007/s00574-018-0116-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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 (Proc Am Math Soc 108(3):627-631, 1990), we present a description of these elements which generalizes the approach of Homma and Kim (J Pure Appl Algebra 162(2-3):273-290, 2001) 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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页码：543 / 559
页数：17
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