Let $f: S\longrightarrow B$ be a non locally trivial relatively minimal 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.
@article{1206367959,
author = {BARJA, Miguel \'Angel and STOPPINO, Lidia},
title = {Linear stability of projected canonical curves with applications to the slope of fibred surfaces},
journal = {J. Math. Soc. Japan},
volume = {60},
number = {1},
year = {2008},
pages = { 171-192},
language = {en},
url = {http://dml.mathdoc.fr/item/1206367959}
}
BARJA, Miguel Ángel; STOPPINO, Lidia. Linear stability of projected canonical curves with applications to the slope of fibred surfaces. J. Math. Soc. Japan, Tome 60 (2008) no. 1, pp. 171-192. http://gdmltest.u-ga.fr/item/1206367959/