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

2013/10/19 by Ryo Kawaguchi, Kawaguchi, Ryo
Mathematics · #14H51 #14M25 #52B20 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #math.AG #msc:14H51 #msc:14M25 #msc:52B20

paper · pdf · doi:10.48550/arxiv.1310.5213

arxiv created 2013/10/19 · openalex publication_date 2013/10/19 · arxiv updated 2013/10/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We determine the gonality and the Clifford index for curves on a compact smooth toric surface. Moreover, it is shown that their gonality are computed by pencils on the ambient surface. From the geometrical view point, this means that the gonality can be read off from the lattice polygon associated to the curve.

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