Metallicity effects on the cosmic SNIb/c and GRB rates
  Supernovae Ib/c are likely to be associated to long GRBs, therefore it is important to compare the SN rate in galaxies with the GRB rate. To do that we computed Type Ib/c SN rates in galaxies of different morphological type by assuming different histories of star formation and different supernova Ib/c progenitors. We included some recent suggestions about the dependence of the minimum mass of single Wolf-Rayet (WR) stars upon the stellar metallicity and therefore upon galactic chemical evolution. We adopted several cosmic star formation rates as functions of cosmic time, either observationally or theoretically derived, including the one computed with our galaxy models. Then we computed the cosmic Type Ib/c SN rates. We derived the following conclusions: i) the ratio cosmic GRB - Type Ib/c rate varies in the range 10^{-2}-10^{-4} in the whole redshift range, thus suggesting that only a small fraction of all the Type Ib/c SNe gives rise to GRBs. ii) The metallicity dependence of Type Ib/c SN progenitors produces lower cosmic SN Ib/c rates at early times, for any chosen cosmic star formation rate. iii) Different theoretical cosmic star formation rates, computed under different scenarios of galaxy formation, produce SN Ib/c cosmic rates which differ mainly at very high redshift. However, it is difficult to draw firm conclusions on the high redshift trend because of the large uncertainties in the data. iv) GRBs can be important tracers of star formation at high redshift if their luminosity function does not vary with redshift and they can help in discriminating among different galaxy formation models. 
V. Grieco, F. Matteucci, G. Meynet, F. Longo, M. Della Valle, R.   Salvaterra
astro-ph.GA