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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Bibliographic Details
Published in:Mathematische Zeitschrift 2013-12, Vol.275 (3-4), p.899-910
Main Author: Lelli-Chiesa, Margherita
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Description
Summary: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.
ISSN:0025-5874
1432-1823
DOI:10.1007/s00209-013-1164-7