The focus of this review is the work that has been done during the 1990s on
using Type Ia supernovae (SNe Ia) to measure the Hubble constant (H0). SNe
Ia are well suited for measuring H0. A straightforward maximum-light color
criterion can weed out the minority of observed events that are either
intrinsically subluminous or substantially extinguished by dust, leaving a
majority subsample that has observational absolute-magnitude dispersions of
less than σobs(MB)≃σobs(MV)≃0.3 mag.
Correlations between absolute magnitude and one or more distance-independent SN
Ia or parent-galaxy observables can be used to further standardize the absolute
magnitudes to better than 0.2 mag. The absolute magnitudes can be calibrated in
two independent ways --- empirically, using Cepheid-based distances to parent
galaxies of SNe Ia, and physically, by light curve and spectrum fitting. At
present the empirical and physical calibrations are in agreement at MB≃MV≃−19.4 or -19.5. Various ways that have been used to match
Cepheid-calibrated SNe Ia or physical models to SNe Ia that have been observed
out in the Hubble flow have given values of H0 distributed throughout the
range 54 to 67 km/s Mpc−1. Astronomers who want a consensus value of H0
from SNe Ia with conservative errors could, for now, use 60±10 km/s
Mpc^{-1}$.Comment: 46 pages. Hard copies of figures, all from the published literature,
can be obtained from the author. With permission, from the Annual Review of
Astronomy and Astrophysics, Volume 36, copyright 1998, by Annual Review