Author:
Barja Miguel Ángel,González-Alonso Víctor,Naranjo Juan Carlos
Abstract
Abstract
We prove that the genus g, the relative irregularity
q_{f}
and the Clifford index
c_{f}
of a non-isotrivial fibration f satisfy the inequality
q_{f}\leq g-c_{f}
. This gives in particular a proof of Xiao’s conjecture for fibrations whose general fibres have maximal Clifford index.
Funder
Ministerio de Economía y Competitividad
Generalitat de Catalunya
H2020 European Research Council
Subject
Applied Mathematics,General Mathematics
Reference36 articles.
1. Fibered algebraic surfaces with low slope;Math. Ann.,1987
2. Clifford index and the slope of fibered surfaces;J. Algebraic Geom.,1999
3. Irregularity of surfaces with a linear pencil;Duke Math. J.,1987
4. On Kähler fiber spaces over curves;J. Math. Soc. Japan,1978
5. Inégalités numériques pour les surfaces de type général;Bull. Soc. Math. France,1982
Cited by
16 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献