  The analysis of deeply virtual meson production is extended to
neutrino-production of the pseudo-Goldstone mesons (pions, kaons, eta-mesons)
on nucleons, with the flavor content of the recoil baryon either preserved, or
changed to a hyperon from the same SU(3) octet. We rely on the SU(3) relations
and express all the cross-sections in terms of the proton generalized parton
distributions (GPDs). The corresponding amplitudes are calculated at the
leading twist level and in the leading order in \alpha_{s}, using a
phenomenological parametrization of GPDs. We also included in the analysis the
electromagnetic O(alpha_{em})-corrections to neutrino-induced deeply virtual
meson production (\nuDVMP). We found that such electromagnetic corrections
decrease with Q^2 in the Bjorken regime less than the standard \nuDVMP handbag
contribution, so the electromagnetic mechanism dominates at large Q^2. The
electromagnetic corrections give rise to an angular correlation between the
lepton and hadron scattering planes with harmonics sensitive to the real and
imaginary parts of the DVMP amplitude. These corrections constitute a few
percent effect in the kinematics of the forthcoming MINERvA experiment at
Fermilab and should be taken into account in precise tests of GPD
parametrizations. For virtualities Q^2~100 GeV^2 these corrections become on a
par with \nuDVMP handbag contributions.
