  Resonant spin-flavour (RSF) conversions of supernova neutrinos, which is
induced by the interaction between the nonzero neutrino magnetic moment and
supernova magnetic fields, are studied for both normal and inverted mass
hierarchy. As the case for the pure matter-induced neutrino oscillation
(Mikheyev--Smirnov--Wolfenstein (MSW) effect), we find that the RSF transitions
are strongly dependent on the neutrino mass hierarchy as well as the value of
$\theta_{13}$. Flavour conversions are solved numerically for various neutrino
parameter sets, with presupernova profile calculated by Woosley and Weaver. In
particular, it is very interesting that the RSF-induced
$\nu_\rme\to\bar\nu_\rme$ transition occurs, if the following conditions are
all satisfied: the value of $\mu_\nu B$ ($\mu_\nu$ is the neutrino magnetic
moment, and $B$ is the magnetic field strength) is sufficiently strong, the
neutrino mass hierarchy is inverted, and the value of $\theta_{13}$ is large
enough to induce adiabatic MSW resonance. In this case, the strong peak due to
original $\nu_\rme$ emitted from neutronization burst would exist in time
profile of the neutrino events detected at the Super-Kamiokande detector. If
this peak were observed in reality, it would provide fruitful information on
the neutrino properties. On the other hand, characters of the neutrino spectra
are also different between the neutrino models, but we find that there remains
degeneracy among several models. Dependence on presupernova models is also
discussed.
