Linear stability of projected canonical curves with applications to the slope of fibred surfaces
arXiv:math/0612030
Abstract
Let f :S\to B be a non locally trivial fibred surface. We prove a lower bound for the slope of f depending increasingly from the relative irregularity of f and the Clifford index of the general fibres.
arXiv commentLatex, 19 pages, revised version; to appear in J. of Math. Soc. of Japan