  Inclusive e\pmp single and double differential cross sections for neutral and
charged current deep inelastic scattering processes are measured with the H1
detector at HERA. The data were taken at a centre-of-mass energy of \surds =
319GeV with a total integrated luminosity of 333.7 pb-1 shared between two
lepton beam charges and two longitudinal lepton polarisation modes. The
differential cross sections are measured in the range of negative fourmomentum
transfer squared, Q2, between 60 and 50 000GeV2, and Bjorken x between 0.0008
and 0.65. The measurements are combined with earlier published unpolarised H1
data to improve statistical precision and used to determine the structure
function xF_3^gammaZ. A measurement of the neutral current parity violating
structure function F_2^gammaZ is presented for the first time. The polarisation
dependence of the charged current total cross section is also measured. The new
measurements are well described by a next-to-leading order QCD fit based on all
published H1 inclusive cross section data which are used to extract the parton
distribution functions of the proton.
