  We discuss a novel physical mechanism which gives rise to a giant
magnetoconductivity in non-centrosymmetric superconducting films. This
mechanism is caused by a combination of spin-orbit interaction and inversion
symmetry breaking in the system, and arises in the presence of an in-plane
magnetic field ${\bf H}_\|$. It produces a contribution to the conductivity,
which displays a strong dependence on the angle between the electric field
${\bf E}$ and ${\bf H}_\|$, and is proportional to the inelastic relaxation
time of quasiparticles. Since in typical situations the latter is much larger
than the elastic one this contribution can be much larger than the conventional
conductivity thus leading to giant microwave absorption.
