Gonality of non-Gorenstein curves of genus five

被引：4

作者：

Feital, Lia ^{[1
]}

Martins, Renato Vidal ^{[2
]}

机构：

[1] Univ Fed Vicosa, CCE, Dept Matemat, BR-36570000 Vicosa, MG, Brazil

[2] Univ Fed Minas Gerais, ICEx, Dept Matemat, BR-30123970 Belo Horizonte, MG, Brazil

来源：

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2014年 / 45卷 / 04期

关键词：

singular curve; non-Gorenstein curve; Max Noether theorem;

D O I：

10.1007/s00574-014-0067-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish sufficient conditions for some curves to be trigonal and derive from them that most of non-Gorenstein curves of genus five are so. Afterwards, we show that the gonality of such a curve ranges from 2 to 5. Gonality is understood within a broader context, i.e., the g (d) (1) may possibly admit a base point and correspond to a torsion free sheaf of rank one instead of a line bundle. This study comes along with a thorough description of possible canonical models and kinds of singularities.

引用

页码：649 / 670

页数：22

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