Green's Conjecture for curves on rational surfaces with an anticanonical pencil
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 defined by C. Constancy of Clifford dimension, Clifford index and gonality of curves in the linear system |L| is also obtained.
- Publication:
-
arXiv e-prints
- Pub Date:
- July 2012
- DOI:
- 10.48550/arXiv.1207.6993
- arXiv:
- arXiv:1207.6993
- Bibcode:
- 2012arXiv1207.6993L
- Keywords:
-
- Mathematics - Algebraic Geometry
- E-Print:
- Final version, to appear in Math. Zeit