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.
Lelli-Chiesa, M. (2013). Green's Conjecture for curves on rational surfaces with an anticanonical pencil. MATHEMATISCHE ZEITSCHRIFT, 275(3-4), 899-910 [10.1007/s00209-013-1164-7].
Green's Conjecture for curves on rational surfaces with an anticanonical pencil
Lelli-Chiesa M.
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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