Evolution of the three parameters (α, M^∗, Φ^∗) of the GSMF with redshift. The bottom-right panel shows the dependencies of the Stellar Mass Density (ρ_M in unit of  M_⊙ Mpc^-3) from the parameter α. The stars mark the position of the best fit of the observed GSMF with a Schechter function, obtained by correcting for the Eddington bias as explained in detail in Appendix B. A clear trend with redshift is evident up to z = 6, while at z = 7 the parameters are basically unconstrained.