Non-oscillation searches of neutrino mass in the age of oscillations

We focus on the implications of the oscillations for the shape of nuclear beta -spectrum (=direct search for v mass). This is of interest because of the existing bound, m(nue) < 2.2 eV, that could improve by one order of magnitude with future experiments. We stress important connections with the results of Liquid Scintillator Neutrino Detector (LSND), <nu>(e) disappearance experiments: supernova (SN) neutrinos and neutrinoless double beta decay (0 nu2 beta).