The gonality and the Clifford index of curves on a tonic surface

JOURNAL OF ALGEBRA

卷:449

Article

Kawaguchi, Ryo¹ 

[1] Nara Med Univ, Dept Math, Kashihara, Nara 6348521, Japan

关键词: Algebraic curves;    Gonality;    Clifford index;    Tonic varieties;   

DOI  :  10.1016/j.jalgebra.2015.11.017

来源: Elsevier

【 摘 要 】

We determine the gonality and the Clifford index for curves on a compact smooth tonic surface. Moreover, it is shown that their gonality is computed by pencils on the ambient surface. From the geometrical viewpoint, this means that the gonality can be read off from the lattice polygon associated to the curve. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free