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 =\mathcalO S(C). Constancy of Clifford dimension, Clifford index and gonality of curves in the linear system pipeLpipe is also obtained. © 2013 Springer-Verlag Berlin Heidelberg.
Green's Conjecture for curves on rational surfaces with an anticanonical pencil
LELLI-CHIESA, MARGHERITA
2013-01-01
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 =\mathcalO S(C). Constancy of Clifford dimension, Clifford index and gonality of curves in the linear system pipeLpipe is also obtained. © 2013 Springer-Verlag Berlin Heidelberg.File in questo prodotto:
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