On gonality and canonical models of unicuspidal rational curves

被引：0

作者：

Galdino, Naama ^{[1
]}

Martins, Renato Vidal ^{[2
]}

Nicolau, Danielle ^{[1
]}

机构：

[1] Univ Fed Minas Gerais, Dept Matemat, ICEx, Ave Antonio Carlos 6627, BR-30123970 Belo Horizonte, MG, Brazil

[2] UFV, Dept Matemat, CAF, Rodovia LMG 818 km 06, BR-35690000 Florestal, MG, Brazil

来源：

SEMIGROUP FORUM | 2023年 / 107卷 / 01期

关键词：

Linear series; Rational curves; Singular curves; Semigroups; NON-GORENSTEIN CURVES;

D O I：

10.1007/s00233-023-10354-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the gonality of a curve C and its canonical model C', by means of unicuspidal rational curves, where those concepts can be better understood. We start by a general formula for the dimension of the space of hypersurfaces of a fixed degree containing C', which we apply to some particular cases. Then we classify unicuspidal rational curves via different notions of gonality, and by its canonical model, up to genus 6. We do it using general methods applied to certain families of curves of arbitrary genus.

引用

页码：79 / 108

页数：30

共 18 条

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