The possibility to explain the CMB measurement of the baryon asymmetry with
leptogenesis results in a stringent bound on the neutrino masses such that
[(m_1)^2+(m_2)^2+(m_3)^2]^(1/2) < 0.30 eV. We discuss the implications of such
a bound for future experiments on the absolute neutrino mass scale.Comment: 12 pages, 4 figures included. Talk given at the Third Tropical
Workshop: Neutrinos, Branes and Cosmology, 19-23 August 2002, San Juan,
Puerto Rico. v2 references adde