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arXiv · 1207.6993

Green's Conjecture for curves on rational surfaces with an anticanonical pencil

Margherita Lelli-Chiesa
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Abstract

Green's conjecture is proved for smooth curves C lying on a rational surface S with an anticanonical pencil, under some mild hypotheses on the line bundle L defined by C. Constancy of Clifford dimension, Clifford index and gonality of curves in the linear system |L| is also obtained.

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Margherita Lelli-Chiesa. 2013-02-12. Green's Conjecture for curves on rational surfaces with an anticanonical pencil. https://arxiv.org/abs/1207.6993

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