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The cosmological parameters from supernovae

Supernovae are bright luminous stellar objects observable up to redshifts close to z~1. They are used to probe the geometry of the Universe and its expansion rate by applying different methods. In this article, I review various approaches used to measure the present expansion rate of the Universe, $H_{0}$, and the paths to determine its matter density $Ω_{M}$ and the possible contribution of a non-zero cosmological constant $Λ$. An account is given of the numerical estimates of those cosmological parameters according to the present status of the research.