Weierstrass jump sequences and gonality

被引：1

作者：

Beorchia, Valentina ^{[1
]}

Sacchiero, Gianni ^{[2
]}

机构：

[1] Univ Trieste, Dipartimento Matemat & Geosci, Via Valerio 12-B, I-34127 Trieste, Italy

[2] Localita S Croce 159, I-34151 Trieste, Italy

来源：

SEMIGROUP FORUM | 2016年 / 92卷 / 03期

关键词：

Weierstrass gap sequences; Gonality; Gonal scroll; NUMERICAL SEMIGROUPS; TRIGONAL CURVES; LINEAR SERIES; POINTS; EXISTENCE; COVERINGS; RAMIFICATION; WEIGHT;

D O I：

10.1007/s00233-015-9694-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove some structure results on Weierstrass points on a non-hyperelliptic curve, which are total or almost total ramification points for the gonal covering. It turns out that the corresponding Weierstrass semigroup is strictly related to the splitting type of the gonal scroll containing the canonical model of the curve. We also give a description of the Weierstrass gap sequence in the case of a non ramification point for the gonal cover.

引用

页码：598 / 632

页数：35

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