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arXiv:1207.6993 [math.AG]AbstractReferencesReviewsResources

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

Margherita Lelli-Chiesa

Published 2012-07-30, updated 2013-02-12Version 2

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.

Comments: Final version, to appear in Math. Zeit
Categories: math.AG
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