The mass of the star actually determines the stage of the star after supernova. If the mass of the star is small, then it would become a very small and dwarf, cold and dead body in space. The mass of the star has to be less than that of the sun. If the mass of the star is greater than sun, then it would become a black hole. The mass of the star has to be more than 1.4 times the mass of the sun to become a black hole.