Ryo Kawaguchi
Published 2013-10-19Version 1
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.
Clifford index for reduced curves
Moduli dimensions of lattice polygons
Clifford Index of ACM Curves in ${\mathbb P}^3$
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