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arXiv · 1310.5213

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

Ryo Kawaguchi
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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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Ryo Kawaguchi. 2013-10-19. The gonality and the Clifford index of curves on a toric surface. https://arxiv.org/abs/1310.5213

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