Relation between M_ZAMS and final mass of the star (M_fin, thin solid line), He core mass (M_He, thick dotted line), CO core mass (M_CO, thick dot-dashed line), and black hole mass (M_BH, thick solid line), for optically thin winds (V01, magenta) and for the S23 model (S23, black). Upper panel: Ω/Ω_c = 0; lower panel: Ω/Ω_c = 0.6. Gray shaded area: range of M_He in which we expect a pulsational pair instability supernova.