  We consider the impact of a kinetic pole of order one or two on the
non-supersymmetric model of hybrid inflation. These poles arise due to
logarithmic Kaehler potentials which control the kinetic mixing of the inflaton
field and parameterize hyperbolic manifolds with scalar curvature related to
the coefficient (-N)<0 of the logarithm. Inflation is associated with the
breaking of a local SU(2)xU(1) symmetry, which does not produce any
cosmological defects after it, and remains largely immune from the minimal
possible radiative corrections to the inflationary potential. For N=1 and equal
values of the relevant coupling constants, lambda and kappa, the achievement of
the observationally central value of ns requires the mass parameter, m, and the
symmetry breaking scale, M, to be of the order of 10^12 GeV and 10^17 GeV
respectively. Increasing N above unity the tensor-to-scalar ratio r increases
above 0.002 and reaches its maximal allowed value for N~10-20.
