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

Green’s Conjecture is proved for smooth curves lying on a rational surface with an anticanonical pencil, under some mild hypotheses on the line bundle . Constancy of Clifford dimension, Clifford index and gonality of curves in the linear system is also obtained.

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Published in:Mathematische Zeitschrift 2013-12, Vol.275 (3-4), p.899-910
Main Author: Lelli-Chiesa, Margherita
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Language:English
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Mathematics
Mathematics and Statistics
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description Green’s Conjecture is proved for smooth curves lying on a rational surface with an anticanonical pencil, under some mild hypotheses on the line bundle . Constancy of Clifford dimension, Clifford index and gonality of curves in the linear system is also obtained.
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subjects Mathematics
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title Green’s Conjecture for curves on rational surfaces with an anticanonical pencil
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