Osaka Journal of Mathematics

The gonality conjecture for curves on certain toric surfaces

Ryo Kawaguchi

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The gonality is one of important invariants in the study of linear systems on curves. The gonality conjecture which was posed by Green and Lazarsfeld predicts that we can read off the gonality of a curve from any one line bundle of sufficiently large degree on the curve. This conjecture had been proved for curves on Hirzebruch surfaces by Aprodu. In this artlcle, we will extend this result for curves on certain toric surfaces.

Article information

Osaka J. Math., Volume 45, Number 1 (2008), 113-126.

First available in Project Euclid: 14 March 2008

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 14H51: Special divisors (gonality, Brill-Noether theory)
Secondary: 14M25: Toric varieties, Newton polyhedra [See also 52B20]


Kawaguchi, Ryo. The gonality conjecture for curves on certain toric surfaces. Osaka J. Math. 45 (2008), no. 1, 113--126.

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