Nuclear Corrections in Neutrino Deep Inelastic Scattering and the Extraction of the Strange Quark Distribution

Recent measurement of the structure function $F_2^\nu$ in neutrino deep inelastic scattering allows us to compare structure function measured in neutrino and charged lepton scattering for the first time with reasonable precision. The comparison between neutrino and muon structure functions made by the CCFR Collaboration indicates that there is a discrepancy between these structure functions at small Bjorken x values. In this talk I examine two effects which might account for the experimental discrepancy: nuclear shadowing corrections for neutrinos and contributions from strange and anti strange quarks.