• On the bicanonical map of irregular varieties 

      Barja Yáñez, Miguel Ángel; Lahoz Vilalta, Martí; Naranjo del Val, Joan Carles; Pareschi, Giusseppe (2010-02)
      Report de recerca
      Accés obert
      From the point of view of uniform bounds for the birationality of pluricanonical maps, irregular varieties of general type and maximal Albanese dimension behave similarly to curves. In fact Chen-Hacon showed that, at least ...
    • Xiao's conjecture for general fibred surfaces 

      Barja Yáñez, Miguel Ángel; González Alonso, Víctor; Naranjo del Val, Joan Carles (2018-06-01)
      Article
      Accés obert
      We prove that the genus g, the relative irregularity qf and the Clifford index cf of a non-isotrivial fibration f satisfy the inequality qf=g-cf. This gives in particular a proof of Xiao’s conjecture for fibrations whose ...
    • Xiao's conjuecture for general fibred surfaces 

      Barja Yáñez, Miguel Ángel; González Alonso, Víctor; Naranjo del Val, Joan Carles (2014-01-10)
      Report de recerca
      Accés obert
      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 ...