Special Pairs in the Generating Subset of the Weierstrass Semigroup at a Pair

被引：0
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作者：
Eunju Kang
Seon Jeong Kim
机构：
[1] Honam University,Department of Mathematics
[2] Gyeongsang National University,Department of Mathematics
来源：
Geometriae Dedicata | 2003年 / 99卷
关键词：
generalized Weierstrass point; Weierstrass semigroup of a pair; Weierstrass semigroup of a point;
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摘要：
We discuss the structure of the Weierstrass semigroup at a pair of points on an algebraic curve. It is known that the Weierstrass semigroup at a pair (P, Q) contains the unique generating subset Γ(P, Q). We find some characterizations of the elements of Γ(P, Q) and prove that, for any point P on a curve, Γ(P, Q) consists of only maximal elements for all except for finitely many points Q ≠ P on the given curve. Also we obtain more results concerning special and nonspecial pairs.
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页码：167 / 177
页数：10
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