Type Ia Supernovae and their implications for cosmology
  Models for Type Ia Supernovae (SNe Ia) are reviewed. It is shown that there are strong reasons to believe that most SNe Ia represent thermonuclear disruptions of C-O white dwarfs, when these white dwarfs reach the Chandrasekhar limit and ignite carbon at their centers.   Different progenitor scenarios are reviewed critically and the strengths and weaknesses of each scenario are presented in detail. It is argued that theoretical considerations currently favor single-degenerate models, in which the white dwarf accretes from a subgiant or giant companion. However, it is still possible that more than one progenitor class contributes to the observed sample. The relation of the different models to the use of SNe Ia for the determination of cosmological parameters is discussed. It is shown that while the observed diversity of SNe Ia may argue for the existence of different progenitor classes, this does not affect the interpretation of an accelerating expansion of the universe. 
Mario Livio