Resumen de Slope inequalities for higher dimensional irregular fibrations
We prove the equivalence between Clifford-Severi inequalities for good classes of varieties of maximal Albanese dimension and slope inequali- ties for such varieties fibred over curves. This provides a big set of new slope inequalities and characterizes the limit cases. It also gives a machinery to auto- matically obtain other higher-dimensional slope and Clifford-Severi inequalities from inequalities in low dimension. For this, we construct a continuous version of Xiao’s method for irregular fibrations.
