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Xiao's conjuecture for general fibred surfaces

Autor
Barja, M.; González-Alonso, V.; Naranjo, J.C.
Tipus d'activitat
Document cientificotècnic
Data
2014-01-10
Projecte finançador
Geomatría algebraica, simpléctica, aritmética y aplicaciones.
Repositori
http://hdl.handle.net/2117/24999 Obrir en finestra nova
URL
http://arxiv.org/pdf/1401.7502.pdf Obrir en finestra nova
Resum
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=g-c_f. This gives in particular a proof of Xiao’s conjecture for fibrations whose general fibres have maximal Clifford index.
Citació
Barja, M.; González-Alonso, V.; Naranjo, J.C. "Xiao's conjuecture for general fibred surfaces". 2014.
Paraules clau
Fibration Slope Xiao's conjecture Clifford Index
Grup de recerca
GEOMVAP - Geometria de Varietats i Aplicacions

Participants

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