  While it is established that the effect of neutrinos on the evolution of
cosmic structure is small, the upper limits derived from large-scale structure
could help significantly to constrain the absolute scale of the neutrino
masses. Current results from cosmology set an upper limit on the sum of the
neutrino masses of ~ 1 eV, somewhat depending on the data sets used in the
analyses and assumed priors on cosmological parameters. In this review we
discuss the effects of neutrinos on large-scale structure which make these
limits obtainable. We show the impact of neutrino masses on the matter power
spectrum, the cosmic microwave background and the clustering amplitude. A
summary of derived cosmological neutrino mass upper limits is given, and we
discuss future methods which will improve the mass upper limits by an order of
magnitude.
